756474048 has 336 divisors, whose sum is σ = 2567635200. Its totient is φ = 210524160.

The previous prime is 756474029. The next prime is 756474049. The reversal of 756474048 is 840474657.

756474048 is a `hidden beast` number, since 7 + 564 + 7 + 40 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 756473994 and 756474012.

It is not an unprimeable number, because it can be changed into a prime (756474049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4226023 + ... + 4226201.

Almost surely, 2^756474048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 756474048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283817600).

756474048 is an abundant number, since it is smaller than the sum of its proper divisors (1811161152).

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

756474048 is a wasteful number, since it uses less digits than its factorization.

756474048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 756474048 is about 27504.0732983316. The cubic root of 756474048 is about 911.1670603666.

The spelling of 756474048 in words is "seven hundred fifty-six million, four hundred seventy-four thousand, forty-eight".