7152686464 has 256 divisors, whose sum is σ = 18753638400. Its totient is φ = 2634762240.

The previous prime is 7152686461. The next prime is 7152686617. The reversal of 7152686464 is 4646862517.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7152686461) 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, 31509519 + ... + 31509745.

It is an arithmetic number, because the mean of its divisors is an integer number (73256400).

Almost surely, 2^7152686464 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 7152686464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9376819200).

7152686464 is an abundant number, since it is smaller than the sum of its proper divisors (11600951936).

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

7152686464 is a wasteful number, since it uses less digits than its factorization.

7152686464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 409 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 49.

The square root of 7152686464 is about 84573.5565292131. The cubic root of 7152686464 is about 1926.7397743412.

The spelling of 7152686464 in words is "seven billion, one hundred fifty-two million, six hundred eighty-six thousand, four hundred sixty-four".