6754132800 has 126 divisors (see below), whose sum is σ = 24005833878. Its totient is φ = 1801098240.

The previous prime is 6754132783. The next prime is 6754132811. The reversal of 6754132800 is 82314576.

6754132800 is a `hidden beast` number, since 6 + 7 + 541 + 32 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 431974656 + 6322158144 = 20784^2 + 79512^2 .

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, 220119 + ... + 248918.

Almost surely, 2^6754132800 is an apocalyptic number.

6754132800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6754132800 is an abundant number, since it is smaller than the sum of its proper divisors (17251701078).

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

6754132800 is a wasteful number, since it uses less digits than its factorization.

6754132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469065 (or 469047 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6754132800 is about 82183.5311969497. The cubic root of 6754132800 is about 1890.2671999819.

The spelling of 6754132800 in words is "six billion, seven hundred fifty-four million, one hundred thirty-two thousand, eight hundred".