31250768640 has 288 divisors, whose sum is σ = 122840933376. Its totient is φ = 6593495040.

The previous prime is 31250768603. The next prime is 31250768657. The reversal of 31250768640 is 4686705213.

It is a super-2 number, since 2×31250768640² (a number of 22 digits) contains 22 as substring.

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 = 31250768592 and 31250768601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304725 + ... + 394155.

Almost surely, 2^31250768640 is an apocalyptic number.

31250768640 is a gapful number since it is divisible by the number (30) 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 31250768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61420466688).

31250768640 is an abundant number, since it is smaller than the sum of its proper divisors (91590164736).

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

31250768640 is a wasteful number, since it uses less digits than its factorization.

31250768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89475 (or 89461 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 31250768640 in words is "thirty-one billion, two hundred fifty million, seven hundred sixty-eight thousand, six hundred forty".