44526766673664 has 1152 divisors, whose sum is σ = 156245793177600. Its totient is φ = 12363466752000.

The previous prime is 44526766673657. The next prime is 44526766673671. The reversal of 44526766673664 is 46637666762544.

It is an interprime number because it is at equal distance from previous prime (44526766673657) and next prime (44526766673671).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×44526766673664³ (a number of 42 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 44526766673592 and 44526766673601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5436055809 + ... + 5436063999.

It is an arithmetic number, because the mean of its divisors is an integer number (135630028800).

Almost surely, 2^{44526766673664} is an apocalyptic number.

44526766673664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44526766673664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78122896588800).

44526766673664 is an abundant number, since it is smaller than the sum of its proper divisors (111719026503936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44526766673664 is a wasteful number, since it uses less digits than its factorization.

44526766673664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8370 (or 8350 counting only the distinct ones).

The product of its digits is 4389396480, while the sum is 72.

The spelling of 44526766673664 in words is "forty-four trillion, five hundred twenty-six billion, seven hundred sixty-six million, six hundred seventy-three thousand, six hundred sixty-four".