925727624640 has 1792 divisors, whose sum is σ = 4369612800000. Its totient is φ = 178979880960.

The previous prime is 925727624599. The next prime is 925727624651. The reversal of 925727624640 is 46426727529.

It is a happy number.

925727624640 is a `hidden beast` number, since 9 + 2 + 5 + 7 + 2 + 7 + 624 + 6 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 463094361 + ... + 463096359.

It is an arithmetic number, because the mean of its divisors is an integer number (2438400000).

Almost surely, 2^925727624640 is an apocalyptic number.

925727624640 is a gapful number since it is divisible by the number (90) 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 925727624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184806400000).

925727624640 is an abundant number, since it is smaller than the sum of its proper divisors (3443885175360).

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

925727624640 is a wasteful number, since it uses less digits than its factorization.

925727624640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 925727624640 in words is "nine hundred twenty-five billion, seven hundred twenty-seven million, six hundred twenty-four thousand, six hundred forty".