6376234704000 has 1024 divisors, whose sum is σ = 24871235051520. Its totient is φ = 1414748160000.

The previous prime is 6376234703977. The next prime is 6376234704011. The reversal of 6376234704000 is 4074326736.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2499502725 + ... + 2499505275.

It is an arithmetic number, because the mean of its divisors is an integer number (24288315480).

Almost surely, 2^{6376234704000} is an apocalyptic number.

6376234704000 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 6376234704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12435617525760).

6376234704000 is an abundant number, since it is smaller than the sum of its proper divisors (18495000347520).

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

6376234704000 is a wasteful number, since it uses less digits than its factorization.

6376234704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 42.

The spelling of 6376234704000 in words is "six trillion, three hundred seventy-six billion, two hundred thirty-four million, seven hundred four thousand".