7528660992 has 360 divisors, whose sum is σ = 23663540992. Its totient is φ = 2388787200.

The previous prime is 7528660973. The next prime is 7528661017. The reversal of 7528660992 is 2990668257.

7528660992 is a `hidden beast` number, since 7 + 5 + 28 + 6 + 609 + 9 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123420642 + ... + 123420702.

Almost surely, 2^7528660992 is an apocalyptic number.

7528660992 is a gapful number since it is divisible by the number (72) 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 7528660992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11831770496).

7528660992 is an abundant number, since it is smaller than the sum of its proper divisors (16134880000).

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

7528660992 is an frugal number, since it uses more digits than its factorization.

7528660992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 7528660992 is about 86767.8569056537. The cubic root of 7528660992 is about 1959.9240731382.

The spelling of 7528660992 in words is "seven billion, five hundred twenty-eight million, six hundred sixty thousand, nine hundred ninety-two".