6872735520 has 768 divisors, whose sum is σ = 30177100800. Its totient is φ = 1424424960.

The previous prime is 6872735509. The next prime is 6872735531. The reversal of 6872735520 is 255372786.

It is an interprime number because it is at equal distance from previous prime (6872735509) and next prime (6872735531).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 14908090 + ... + 14908550.

It is an arithmetic number, because the mean of its divisors is an integer number (39293100).

Almost surely, 2^6872735520 is an apocalyptic number.

6872735520 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 6872735520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15088550400).

6872735520 is an abundant number, since it is smaller than the sum of its proper divisors (23304365280).

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

6872735520 is a wasteful number, since it uses less digits than its factorization.

6872735520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 6872735520 is about 82901.9633060641. The cubic root of 6872735520 is about 1901.2674387330.

The spelling of 6872735520 in words is "six billion, eight hundred seventy-two million, seven hundred thirty-five thousand, five hundred twenty".