31925456640 has 1728 divisors, whose sum is σ = 150850732032. Its totient is φ = 6270566400.

The previous prime is 31925456639. The next prime is 31925456657. The reversal of 31925456640 is 4665452913.

31925456640 is a `hidden beast` number, since 3 + 1 + 9 + 2 + 545 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 742452459 + ... + 742452501.

Almost surely, 2^31925456640 is an apocalyptic number.

31925456640 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 31925456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75425366016).

31925456640 is an abundant number, since it is smaller than the sum of its proper divisors (118925275392).

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

31925456640 is a wasteful number, since it uses less digits than its factorization.

31925456640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

It can be divided in two parts, 3192545 and 6640, that added together give a triangular number (3199185 = T₂₅₂₉).

The spelling of 31925456640 in words is "thirty-one billion, nine hundred twenty-five million, four hundred fifty-six thousand, six hundred forty".