7692528480 has 1152 divisors, whose sum is σ = 34000404480. Its totient is φ = 1423319040.

The previous prime is 7692528469. The next prime is 7692528539. The reversal of 7692528480 is 848252967.

It is a super-2 number, since 2×7692528480² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 248146065 + ... + 248146095.

It is an arithmetic number, because the mean of its divisors is an integer number (29514240).

Almost surely, 2^7692528480 is an apocalyptic number.

7692528480 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 7692528480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17000202240).

7692528480 is an abundant number, since it is smaller than the sum of its proper divisors (26307876000).

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

7692528480 is a wasteful number, since it uses less digits than its factorization.

7692528480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 7692528480 is about 87707.0606051759. The cubic root of 7692528480 is about 1974.0419199675.

The spelling of 7692528480 in words is "seven billion, six hundred ninety-two million, five hundred twenty-eight thousand, four hundred eighty".