6556752000 has 192 divisors, whose sum is σ = 23547452760. Its totient is φ = 1748428800.

The previous prime is 6556751989. The next prime is 6556752011. The reversal of 6556752000 is 2576556.

It is an interprime number because it is at equal distance from previous prime (6556751989) and next prime (6556752011).

It can be written as a sum of positive squares in 4 ways, for example, as 1914237504 + 4642514496 = 43752^2 + 68136^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

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, 121234 + ... + 166766.

Almost surely, 2^6556752000 is an apocalyptic number.

6556752000 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 6556752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11773726380).

6556752000 is an abundant number, since it is smaller than the sum of its proper divisors (16990700760).

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

6556752000 is a wasteful number, since it uses less digits than its factorization.

6556752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45568 (or 45543 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 6556752000 is about 80973.7735319282. The cubic root of 6556752000 is about 1871.6713207741.

The spelling of 6556752000 in words is "six billion, five hundred fifty-six million, seven hundred fifty-two thousand".