6407125401600 has 3672 divisors, whose sum is σ = 31473229889920. Its totient is φ = 1261279641600.

The previous prime is 6407125401587. The next prime is 6407125401617. The reversal of 6407125401600 is 61045217046.

6407125401600 is a `hidden beast` number, since 6 + 4 + 0 + 7 + 1 + 2 + 5 + 40 + 1 + 600 = 666.

It is a super-2 number, since 2×6407125401600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 337217126391 + ... + 337217126409.

Almost surely, 2^{6407125401600} is an apocalyptic number.

6407125401600 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 6407125401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15736614944960).

6407125401600 is an abundant number, since it is smaller than the sum of its proper divisors (25066104488320).

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

6407125401600 is an equidigital number, since it uses as much as digits as its factorization.

6407125401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 6407125401600 in words is "six trillion, four hundred seven billion, one hundred twenty-five million, four hundred one thousand, six hundred".