7460525577648 has 640 divisors, whose sum is σ = 24807356227584. Its totient is φ = 1896166195200.

The previous prime is 7460525577623. The next prime is 7460525577667. The reversal of 7460525577648 is 8467755250647.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1653116640 + ... + 1653121152.

Almost surely, 2^{7460525577648} is an apocalyptic number.

7460525577648 is a gapful number since it is divisible by the number (78) 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 7460525577648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12403678113792).

7460525577648 is an abundant number, since it is smaller than the sum of its proper divisors (17346830649936).

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

7460525577648 is a wasteful number, since it uses less digits than its factorization.

7460525577648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5053 (or 5047 counting only the distinct ones).

The product of its (nonzero) digits is 395136000, while the sum is 66.

The spelling of 7460525577648 in words is "seven trillion, four hundred sixty billion, five hundred twenty-five million, five hundred seventy-seven thousand, six hundred forty-eight".