6654974400 has 252 divisors, whose sum is σ = 24159069792. Its totient is φ = 1736724480.

The previous prime is 6654974363. The next prime is 6654974419. The reversal of 6654974400 is 44794566.

6654974400 is a `hidden beast` number, since 66 + 549 + 7 + 4 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 671884 + ... + 681716.

Almost surely, 2^6654974400 is an apocalyptic number.

6654974400 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 6654974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12079534896).

6654974400 is an abundant number, since it is smaller than the sum of its proper divisors (17504095392).

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

6654974400 is a wasteful number, since it uses less digits than its factorization.

6654974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9908 (or 9890 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 6654974400 is about 81578.0264532061. The cubic root of 6654974400 is about 1880.9711294744.

The spelling of 6654974400 in words is "six billion, six hundred fifty-four million, nine hundred seventy-four thousand, four hundred".