7524679680 has 576 divisors, whose sum is σ = 30956636880. Its totient is φ = 1719926784.

The previous prime is 7524679667. The next prime is 7524679681. The reversal of 7524679680 is 869764257.

It is a Jordan-Polya number, since it can be written as 9! ⋅ (4!)² ⋅ (3!)².

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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7524679681) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1074954237 + ... + 1074954243.

Almost surely, 2^7524679680 is an apocalyptic number.

7524679680 is a gapful number since it is divisible by the number (70) 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 7524679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15478318440).

7524679680 is an abundant number, since it is smaller than the sum of its proper divisors (23431957200).

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

7524679680 is an frugal number, since it uses more digits than its factorization.

7524679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 7524679680 is about 86744.9115510530. The cubic root of 7524679680 is about 1959.5785293946.

The spelling of 7524679680 in words is "seven billion, five hundred twenty-four million, six hundred seventy-nine thousand, six hundred eighty".