6872034624000 has 1280 divisors, whose sum is σ = 28250415857664. Its totient is φ = 1443225600000.

The previous prime is 6872034623989. The next prime is 6872034624043. The reversal of 6872034624000 is 4264302786.

It is a tau number, because it is divible by the number of its divisors (1280).

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, 4385471217 + ... + 4385472783.

Almost surely, 2^{6872034624000} is an apocalyptic number.

6872034624000 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 6872034624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14125207928832).

6872034624000 is an abundant number, since it is smaller than the sum of its proper divisors (21378381233664).

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

6872034624000 is a wasteful number, since it uses less digits than its factorization.

6872034624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

Adding to 6872034624000 its reverse (4264302786), we get a palindrome (6876298926786).

The spelling of 6872034624000 in words is "six trillion, eight hundred seventy-two billion, thirty-four million, six hundred twenty-four thousand".