7353872064 has 784 divisors, whose sum is σ = 28783848960. Its totient is φ = 1806520320.

The previous prime is 7353872051. The next prime is 7353872077. The reversal of 7353872064 is 4602783537.

It is an interprime number because it is at equal distance from previous prime (7353872051) and next prime (7353872077).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 82627732 + ... + 82627820.

Almost surely, 2^7353872064 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 7353872064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14391924480).

7353872064 is an abundant number, since it is smaller than the sum of its proper divisors (21429976896).

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

7353872064 is a wasteful number, since it uses less digits than its factorization.

7353872064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 7353872064 is about 85754.7203598729. The cubic root of 7353872064 is about 1944.6376509037.

The spelling of 7353872064 in words is "seven billion, three hundred fifty-three million, eight hundred seventy-two thousand, sixty-four".