7526947680 has 480 divisors, whose sum is σ = 31416517440. Its totient is φ = 1660538880.

The previous prime is 7526947667. The next prime is 7526947759. The reversal of 7526947680 is 867496257.

7526947680 is a `hidden beast` number, since 75 + 26 + 9 + 476 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2629450 + ... + 2632310.

It is an arithmetic number, because the mean of its divisors is an integer number (65451078).

Almost surely, 2^7526947680 is an apocalyptic number.

7526947680 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 7526947680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15708258720).

7526947680 is an abundant number, since it is smaller than the sum of its proper divisors (23889569760).

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

7526947680 is a wasteful number, since it uses less digits than its factorization.

7526947680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2924 (or 2907 counting only the distinct ones).

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

The square root of 7526947680 is about 86757.9833790528. The cubic root of 7526947680 is about 1959.7753872831.

The spelling of 7526947680 in words is "seven billion, five hundred twenty-six million, nine hundred forty-seven thousand, six hundred eighty".