6288870456 has 120 divisors (see below), whose sum is σ = 19361810160. Its totient is φ = 1905694560.

The previous prime is 6288870437. The next prime is 6288870461. The reversal of 6288870456 is 6540788826.

6288870456 is a `hidden beast` number, since 628 + 8 + 8 + 7 + 0 + 4 + 5 + 6 = 666.

It is a super-2 number, since 2×6288870456² = 79099783224699295872, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 38305 + ... + 118511.

It is an arithmetic number, because the mean of its divisors is an integer number (161348418).

Almost surely, 2^6288870456 is an apocalyptic number.

6288870456 is a gapful number since it is divisible by the number (66) 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 6288870456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9680905080).

6288870456 is an abundant number, since it is smaller than the sum of its proper divisors (13072939704).

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

6288870456 is a wasteful number, since it uses less digits than its factorization.

6288870456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80247 (or 80223 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The square root of 6288870456 is about 79302.3988035671. The cubic root of 6288870456 is about 1845.8265263644.

The spelling of 6288870456 in words is "six billion, two hundred eighty-eight million, eight hundred seventy thousand, four hundred fifty-six".