372984432480 has 1152 divisors, whose sum is σ = 1497881548800. Its totient is φ = 86858956800.

The previous prime is 372984432479. The next prime is 372984432481. The reversal of 372984432480 is 84234489273.

372984432480 is a `hidden beast` number, since 3 + 7 + 2 + 98 + 44 + 32 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (372984432479) and next prime (372984432481).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (372984432481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1560604201 + ... + 1560604439.

It is an arithmetic number, because the mean of its divisors is an integer number (1300244400).

Almost surely, 2^372984432480 is an apocalyptic number.

372984432480 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 372984432480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748940774400).

372984432480 is an abundant number, since it is smaller than the sum of its proper divisors (1124897116320).

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

372984432480 is a wasteful number, since it uses less digits than its factorization.

372984432480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 372984432480 in words is "three hundred seventy-two billion, nine hundred eighty-four million, four hundred thirty-two thousand, four hundred eighty".