32379259440 has 720 divisors, whose sum is σ = 123406101504. Its totient is φ = 6956236800.

The previous prime is 32379259433. The next prime is 32379259441. The reversal of 32379259440 is 4495297323.

It is a super-2 number, since 2×32379259440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 32379259440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32379259441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 875115102 + ... + 875115138.

Almost surely, 2^32379259440 is an apocalyptic number.

32379259440 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 32379259440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61703050752).

32379259440 is an abundant number, since it is smaller than the sum of its proper divisors (91026842064).

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

32379259440 is a wasteful number, since it uses less digits than its factorization.

32379259440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 32379259440 in words is "thirty-two billion, three hundred seventy-nine million, two hundred fifty-nine thousand, four hundred forty".