7645057728 has 224 divisors, whose sum is σ = 25366967808. Its totient is φ = 1974067200.

The previous prime is 7645057703. The next prime is 7645057729. The reversal of 7645057728 is 8277505467.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (7645057729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2674476 + ... + 2677332.

It is an arithmetic number, because the mean of its divisors is an integer number (113245392).

Almost surely, 2^7645057728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7645057728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12683483904).

7645057728 is an abundant number, since it is smaller than the sum of its proper divisors (17721910080).

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

7645057728 is a wasteful number, since it uses less digits than its factorization.

7645057728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3071 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 51.

The square root of 7645057728 is about 87436.0207694746. The cubic root of 7645057728 is about 1969.9729206856.

The spelling of 7645057728 in words is "seven billion, six hundred forty-five million, fifty-seven thousand, seven hundred twenty-eight".