6739574400 has 576 divisors, whose sum is σ = 26518302720. Its totient is φ = 1619435520.

The previous prime is 6739574389. The next prime is 6739574441. The reversal of 6739574400 is 44759376.

6739574400 is a `hidden beast` number, since 6 + 7 + 39 + 574 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 17596609 + ... + 17596991.

It is an arithmetic number, because the mean of its divisors is an integer number (46038720).

Almost surely, 2^6739574400 is an apocalyptic number.

6739574400 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 6739574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13259151360).

6739574400 is an abundant number, since it is smaller than the sum of its proper divisors (19778728320).

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

6739574400 is a wasteful number, since it uses less digits than its factorization.

6739574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 6739574400 is about 82094.9109263175. The cubic root of 6739574400 is about 1888.9080784415.

The spelling of 6739574400 in words is "six billion, seven hundred thirty-nine million, five hundred seventy-four thousand, four hundred".