6407321536 has 168 divisors, whose sum is σ = 16216865712. Its totient is φ = 2483712000.

The previous prime is 6407321533. The next prime is 6407321537. The reversal of 6407321536 is 6351237046.

It is a junction number, because it is equal to n+sod(n) for n = 6407321495 and 6407321504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6407321533) 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, 9693046 + ... + 9693706.

Almost surely, 2^6407321536 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 6407321536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8108432856).

6407321536 is an abundant number, since it is smaller than the sum of its proper divisors (9809544176).

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

6407321536 is a wasteful number, since it uses less digits than its factorization.

6407321536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

The square root of 6407321536 is about 80045.7465203492. The cubic root of 6407321536 is about 1857.3432544664.

The spelling of 6407321536 in words is "six billion, four hundred seven million, three hundred twenty-one thousand, five hundred thirty-six".