7552492704 has 384 divisors, whose sum is σ = 24588748800. Its totient is φ = 2244464640.

The previous prime is 7552492697. The next prime is 7552492721. The reversal of 7552492704 is 4072942557.

7552492704 is a `hidden beast` number, since 7 + 552 + 4 + 92 + 7 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 7552492704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31338024 + ... + 31338264.

It is an arithmetic number, because the mean of its divisors is an integer number (64033200).

Almost surely, 2^7552492704 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 7552492704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12294374400).

7552492704 is an abundant number, since it is smaller than the sum of its proper divisors (17036256096).

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

7552492704 is a wasteful number, since it uses less digits than its factorization.

7552492704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 7552492704 is about 86905.0787008446. The cubic root of 7552492704 is about 1961.9899184923.

The spelling of 7552492704 in words is "seven billion, five hundred fifty-two million, four hundred ninety-two thousand, seven hundred four".