374364806400 has 864 divisors, whose sum is σ = 1565476053120. Its totient is φ = 86721822720.

The previous prime is 374364806317. The next prime is 374364806401. The reversal of 374364806400 is 4608463473.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (374364806401) by changing a digit.

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, 38183899 + ... + 38193701.

It is an arithmetic number, because the mean of its divisors is an integer number (1811893580).

Almost surely, 2^374364806400 is an apocalyptic number.

374364806400 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 374364806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782738026560).

374364806400 is an abundant number, since it is smaller than the sum of its proper divisors (1191111246720).

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

374364806400 is a wasteful number, since it uses less digits than its factorization.

374364806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9868 (or 9843 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 374364806400 in words is "three hundred seventy-four billion, three hundred sixty-four million, eight hundred six thousand, four hundred".