6407795340 has 72 divisors (see below), whose sum is σ = 20107236240. Its totient is φ = 1649821824.

The previous prime is 6407795323. The next prime is 6407795341. The reversal of 6407795340 is 435977046.

6407795340 is a `hidden beast` number, since 6 + 40 + 7 + 79 + 534 + 0 = 666.

It is a super-2 number, since 2×6407795340² = 82119682238651431200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6407795341) 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, 608554 + ... + 618993.

It is an arithmetic number, because the mean of its divisors is an integer number (279267170).

Almost surely, 2^6407795340 is an apocalyptic number.

6407795340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6407795340 is an abundant number, since it is smaller than the sum of its proper divisors (13699440900).

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

6407795340 is a wasteful number, since it uses less digits than its factorization.

6407795340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227591 (or 1227586 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 6407795340 is about 80048.7060482554. The cubic root of 6407795340 is about 1857.3890351652.

The spelling of 6407795340 in words is "six billion, four hundred seven million, seven hundred ninety-five thousand, three hundred forty".