6870153600 has 144 divisors (see below), whose sum is σ = 24514385220. Its totient is φ = 1832033280.

The previous prime is 6870153529. The next prime is 6870153637. The reversal of 6870153600 is 63510786.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 90474 + ... + 148073.

Almost surely, 2^6870153600 is an apocalyptic number.

6870153600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6870153600 is an abundant number, since it is smaller than the sum of its proper divisors (17644231620).

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

6870153600 is a wasteful number, since it uses less digits than its factorization.

6870153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238577 (or 238557 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 6870153600 is about 82886.3897150793. The cubic root of 6870153600 is about 1901.0293222286.

The spelling of 6870153600 in words is "six billion, eight hundred seventy million, one hundred fifty-three thousand, six hundred".