6467252472 has 96 divisors (see below), whose sum is σ = 18571129200. Its totient is φ = 2026171392.

The previous prime is 6467252461. The next prime is 6467252479. The reversal of 6467252472 is 2742527646.

It is a happy number.

6467252472 is a `hidden beast` number, since 64 + 6 + 72 + 52 + 472 = 666.

It is a super-2 number, since 2×6467252472² = 83650709073180221568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6467252479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1009054 + ... + 1015442.

Almost surely, 2^6467252472 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 6467252472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9285564600).

6467252472 is an abundant number, since it is smaller than the sum of its proper divisors (12103876728).

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

6467252472 is a wasteful number, since it uses less digits than its factorization.

6467252472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7245 (or 7238 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The square root of 6467252472 is about 80419.2294914593. The cubic root of 6467252472 is about 1863.1161845836.

The spelling of 6467252472 in words is "six billion, four hundred sixty-seven million, two hundred fifty-two thousand, four hundred seventy-two".