6397907472 has 300 divisors, whose sum is σ = 20918156688. Its totient is φ = 1872201600.

The previous prime is 6397907423. The next prime is 6397907479. The reversal of 6397907472 is 2747097936.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6397907479) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13699783 + ... + 13700249.

Almost surely, 2^6397907472 is an apocalyptic number.

6397907472 is a gapful number since it is divisible by the number (62) 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 6397907472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10459078344).

6397907472 is an abundant number, since it is smaller than the sum of its proper divisors (14520249216).

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

6397907472 is a wasteful number, since it uses less digits than its factorization.

6397907472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The square root of 6397907472 is about 79986.9206308131. The cubic root of 6397907472 is about 1856.4331644173.

The spelling of 6397907472 in words is "six billion, three hundred ninety-seven million, nine hundred seven thousand, four hundred seventy-two".