6872007078144 has 216 divisors, whose sum is σ = 22005194880480. Its totient is φ = 2114463356928.

The previous prime is 6872007078137. The next prime is 6872007078187. The reversal of 6872007078144 is 4418707002786.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×6872007078144² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1773334 + ... + 4109589.

Almost surely, 2^{6872007078144} is an apocalyptic number.

6872007078144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6872007078144 is an abundant number, since it is smaller than the sum of its proper divisors (15133187802336).

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

6872007078144 is a wasteful number, since it uses less digits than its factorization.

6872007078144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882974 (or 5882941 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 6872007078144 in words is "six trillion, eight hundred seventy-two billion, seven million, seventy-eight thousand, one hundred forty-four".