6373982954400 has 288 divisors, whose sum is σ = 21014533608768. Its totient is φ = 1677957120000.

The previous prime is 6373982954369. The next prime is 6373982954429. The reversal of 6373982954400 is 44592893736.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68024382 + ... + 68118018.

It is an arithmetic number, because the mean of its divisors is an integer number (72967130586).

Almost surely, 2^{6373982954400} is an apocalyptic number.

6373982954400 is a gapful number since it is divisible by the number (60) 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 6373982954400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10507266804384).

6373982954400 is an abundant number, since it is smaller than the sum of its proper divisors (14640550654368).

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

6373982954400 is a wasteful number, since it uses less digits than its factorization.

6373982954400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94024 (or 94011 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 60.

The spelling of 6373982954400 in words is "six trillion, three hundred seventy-three billion, nine hundred eighty-two million, nine hundred fifty-four thousand, four hundred".