7529379984 has 135 divisors (see below), whose sum is σ = 24535853433. Its totient is φ = 2149168896.

The previous prime is 7529379967. The next prime is 7529380003. The reversal of 7529379984 is 4899739257.

The square root of 7529379984 is 86772.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7269267600 + 260112384 = 85260^2 + 16128^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7288332 + ... + 7289364.

Almost surely, 2^7529379984 is an apocalyptic number.

7529379984 is the 86772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7529379984

7529379984 is an abundant number, since it is smaller than the sum of its proper divisors (17006473449).

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

7529379984 is a wasteful number, since it uses less digits than its factorization.

7529379984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 1045 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The cubic root of 7529379984 is about 1959.9864624915.

The spelling of 7529379984 in words is "seven billion, five hundred twenty-nine million, three hundred seventy-nine thousand, nine hundred eighty-four".