6450972528 has 640 divisors, whose sum is σ = 23806476288. Its totient is φ = 1451520000.

The previous prime is 6450972481. The next prime is 6450972571. The reversal of 6450972528 is 8252790546.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 90858733 + ... + 90858803.

Almost surely, 2^6450972528 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 6450972528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11903238144).

6450972528 is an abundant number, since it is smaller than the sum of its proper divisors (17355503760).

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

6450972528 is a wasteful number, since it uses less digits than its factorization.

6450972528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The square root of 6450972528 is about 80317.9464876935. The cubic root of 6450972528 is about 1861.5515369518.

The spelling of 6450972528 in words is "six billion, four hundred fifty million, nine hundred seventy-two thousand, five hundred twenty-eight".