7552975680 has 224 divisors, whose sum is σ = 26748028800. Its totient is φ = 2006360064.

The previous prime is 7552975663. The next prime is 7552975697. The reversal of 7552975680 is 865792557.

7552975680 is a `hidden beast` number, since 7 + 55 + 29 + 7 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7552975663) and next prime (7552975697).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2443576 + ... + 2446664.

Almost surely, 2^7552975680 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 7552975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13374014400).

7552975680 is an abundant number, since it is smaller than the sum of its proper divisors (19195053120).

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

7552975680 is a wasteful number, since it uses less digits than its factorization.

7552975680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3398 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The square root of 7552975680 is about 86907.8574123192. The cubic root of 7552975680 is about 1962.0317401743.

The spelling of 7552975680 in words is "seven billion, five hundred fifty-two million, nine hundred seventy-five thousand, six hundred eighty".