64760073840 has 960 divisors, whose sum is σ = 285981696000. Its totient is φ = 13005619200.

The previous prime is 64760073821. The next prime is 64760073869. The reversal of 64760073840 is 4837006746.

64760073840 is a `hidden beast` number, since 6 + 4 + 7 + 600 + 7 + 38 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84212976 + ... + 84213744.

It is an arithmetic number, because the mean of its divisors is an integer number (297897600).

Almost surely, 2^64760073840 is an apocalyptic number.

64760073840 is a gapful number since it is divisible by the number (60) 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 64760073840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142990848000).

64760073840 is an abundant number, since it is smaller than the sum of its proper divisors (221221622160).

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

64760073840 is a wasteful number, since it uses less digits than its factorization.

64760073840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 64760073840 in words is "sixty-four billion, seven hundred sixty million, seventy-three thousand, eight hundred forty".