6407199360 has 384 divisors, whose sum is σ = 24124305600. Its totient is φ = 1606828032.

The previous prime is 6407199353. The next prime is 6407199367. The reversal of 6407199360 is 639917046.

It is an interprime number because it is at equal distance from previous prime (6407199353) and next prime (6407199367).

It is a tau number, because it is divible by the number of its divisors (384).

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 (6407199367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4993279 + ... + 4994561.

Almost surely, 2^6407199360 is an apocalyptic number.

6407199360 is a gapful number since it is divisible by the number (60) 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 6407199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12062152800).

6407199360 is an abundant number, since it is smaller than the sum of its proper divisors (17717106240).

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

6407199360 is a wasteful number, since it uses less digits than its factorization.

6407199360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 6407199360 is about 80044.9833531121. The cubic root of 6407199360 is about 1857.3314490024.

The spelling of 6407199360 in words is "six billion, four hundred seven million, one hundred ninety-nine thousand, three hundred sixty".