374007936960 has 2016 divisors, whose sum is σ = 1686011977728. Its totient is φ = 75494522880.

The previous prime is 374007936949. The next prime is 374007936961. The reversal of 374007936960 is 69639700473.

374007936960 is a `hidden beast` number, since 37 + 400 + 7 + 93 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a junction number, because it is equal to n+sod(n) for n = 374007936897 and 374007936906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (374007936961) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3495401227 + ... + 3495401333.

Almost surely, 2^374007936960 is an apocalyptic number.

374007936960 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 374007936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843005988864).

374007936960 is an abundant number, since it is smaller than the sum of its proper divisors (1312004040768).

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

374007936960 is a wasteful number, since it uses less digits than its factorization.

374007936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 374007936960 in words is "three hundred seventy-four billion, seven million, nine hundred thirty-six thousand, nine hundred sixty".