6407385648 has 20 divisors (see below), whose sum is σ = 16552413048. Its totient is φ = 2135795200.

The previous prime is 6407385643. The next prime is 6407385703. The reversal of 6407385648 is 8465837046.

It is a super-3 number, since 3×6407385648³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6407385648.

It is not an unprimeable number, because it can be changed into a prime (6407385643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66743553 + ... + 66743648.

Almost surely, 2^6407385648 is an apocalyptic number.

It is an amenable number.

6407385648 is an abundant number, since it is smaller than the sum of its proper divisors (10145027400).

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

6407385648 is a wasteful number, since it uses less digits than its factorization.

6407385648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133487212 (or 133487206 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The square root of 6407385648 is about 80046.1469903455. The cubic root of 6407385648 is about 1857.3494493375.

It can be divided in two parts, 6407 and 385648, that added together give a triangular number (392055 = T₈₈₅).

The spelling of 6407385648 in words is "six billion, four hundred seven million, three hundred eighty-five thousand, six hundred forty-eight".