6406914400 has 36 divisors (see below), whose sum is σ = 15640881732. Its totient is φ = 2562765440.

The previous prime is 6406914383. The next prime is 6406914427. The reversal of 6406914400 is 44196046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4003522 + ... + 4005121.

It is an arithmetic number, because the mean of its divisors is an integer number (434468937).

Almost surely, 2^6406914400 is an apocalyptic number.

It is an amenable number.

6406914400 is an abundant number, since it is smaller than the sum of its proper divisors (9233967332).

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

6406914400 is a wasteful number, since it uses less digits than its factorization.

6406914400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8008663 (or 8008650 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 6406914400 is about 80043.2033341995. The cubic root of 6406914400 is about 1857.3039136739.

The spelling of 6406914400 in words is "six billion, four hundred six million, nine hundred fourteen thousand, four hundred".