32625815040 has 1800 divisors, whose sum is σ = 154941656760. Its totient is φ = 6521389056.

The previous prime is 32625815011. The next prime is 32625815069. The reversal of 32625815040 is 4051852623.

32625815040 is a `hidden beast` number, since 3 + 26 + 2 + 581 + 50 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (32625815011) and next prime (32625815069).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 32625814986 and 32625815004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1717148151 + ... + 1717148169.

Almost surely, 2^32625815040 is an apocalyptic number.

32625815040 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 32625815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77470828380).

32625815040 is an abundant number, since it is smaller than the sum of its proper divisors (122315841720).

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

32625815040 is a wasteful number, since it uses less digits than its factorization.

32625815040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 32625815040 in words is "thirty-two billion, six hundred twenty-five million, eight hundred fifteen thousand, forty".