64765707840 has 560 divisors, whose sum is σ = 246475861632. Its totient is φ = 16085827584.

The previous prime is 64765707829. The next prime is 64765707847. The reversal of 64765707840 is 4870756746.

64765707840 is a `hidden beast` number, since 64 + 7 + 6 + 570 + 7 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (64765707847) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45385207 + ... + 45386633.

Almost surely, 2^64765707840 is an apocalyptic number.

64765707840 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 64765707840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123237930816).

64765707840 is an abundant number, since it is smaller than the sum of its proper divisors (181710153792).

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

64765707840 is a wasteful number, since it uses less digits than its factorization.

64765707840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 64765707840 in words is "sixty-four billion, seven hundred sixty-five million, seven hundred seven thousand, eight hundred forty".