44672256000 has 768 divisors, whose sum is σ = 172941350400. Its totient is φ = 11354112000.

The previous prime is 44672255923. The next prime is 44672256007. The reversal of 44672256000 is 65227644.

44672256000 is a `hidden beast` number, since 4 + 46 + 7 + 2 + 2 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×44672256000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (44672256007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158975860 + ... + 158976140.

It is an arithmetic number, because the mean of its divisors is an integer number (225184050).

Almost surely, 2^44672256000 is an apocalyptic number.

44672256000 is a gapful number since it is divisible by the number (40) 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 44672256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86470675200).

44672256000 is an abundant number, since it is smaller than the sum of its proper divisors (128269094400).

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

44672256000 is a wasteful number, since it uses less digits than its factorization.

44672256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

It can be divided in two parts, 4467225 and 6000, that added together give a square (4473225 = 2115²).

The spelling of 44672256000 in words is "forty-four billion, six hundred seventy-two million, two hundred fifty-six thousand".