6407694216 has 448 divisors, whose sum is σ = 23671756800. Its totient is φ = 1574640000.

The previous prime is 6407694199. The next prime is 6407694239. The reversal of 6407694216 is 6124967046.

6407694216 = 410³ + 411³ + ... + 481³.

It is a congruent number.

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, 8531841 + ... + 8532591.

Almost surely, 2^6407694216 is an apocalyptic number.

6407694216 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6407694216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11835878400).

6407694216 is an abundant number, since it is smaller than the sum of its proper divisors (17264062584).

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

6407694216 is a wasteful number, since it uses less digits than its factorization.

6407694216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 6407694216 is about 80048.0744053222. The cubic root of 6407694216 is about 1857.3792643789.

The spelling of 6407694216 in words is "six billion, four hundred seven million, six hundred ninety-four thousand, two hundred sixteen".