372739804416 has 1296 divisors, whose sum is σ = 1414125170640. Its totient is φ = 93640458240.

The previous prime is 372739804361. The next prime is 372739804427. The reversal of 372739804416 is 614408937273.

372739804416 is a `hidden beast` number, since 3 + 72 + 73 + 98 + 0 + 4 + 416 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 834978816 + 371904825600 = 28896^2 + 609840^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2059335846 + ... + 2059336026.

It is an arithmetic number, because the mean of its divisors is an integer number (1091145965).

Almost surely, 2^372739804416 is an apocalyptic number.

372739804416 is a gapful number since it is divisible by the number (36) 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 372739804416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707062585320).

372739804416 is an abundant number, since it is smaller than the sum of its proper divisors (1041385366224).

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

372739804416 is a wasteful number, since it uses less digits than its factorization.

372739804416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 372739804416 in words is "three hundred seventy-two billion, seven hundred thirty-nine million, eight hundred four thousand, four hundred sixteen".