372145849920 has 672 divisors, whose sum is σ = 1455227854080. Its totient is φ = 86533816320.

The previous prime is 372145849913. The next prime is 372145849931. The reversal of 372145849920 is 29948541273.

372145849920 is a `hidden beast` number, since 3 + 7 + 2 + 145 + 8 + 499 + 2 + 0 = 666.

It is a super-2 number, since 2×372145849920² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 384845277 + ... + 384846243.

It is an arithmetic number, because the mean of its divisors is an integer number (2165517640).

Almost surely, 2^372145849920 is an apocalyptic number.

372145849920 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 372145849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727613927040).

372145849920 is an abundant number, since it is smaller than the sum of its proper divisors (1083082004160).

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

372145849920 is a wasteful number, since it uses less digits than its factorization.

372145849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 372145849920 in words is "three hundred seventy-two billion, one hundred forty-five million, eight hundred forty-nine thousand, nine hundred twenty".