929408000640 has 512 divisors, whose sum is σ = 3567679948800. Its totient is φ = 201041657856.

The previous prime is 929408000629. The next prime is 929408000699. The reversal of 929408000640 is 46000804929.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 929408000592 and 929408000601.

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 63 ways as a sum of consecutive naturals, for example, 415469602 + ... + 415471838.

It is an arithmetic number, because the mean of its divisors is an integer number (6968124900).

Almost surely, 2^929408000640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 929408000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783839974400).

929408000640 is an abundant number, since it is smaller than the sum of its proper divisors (2638271948160).

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

929408000640 is a wasteful number, since it uses less digits than its factorization.

929408000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912 (or 3900 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 929408000640 in words is "nine hundred twenty-nine billion, four hundred eight million, six hundred forty", and thus it is an aban number.