6399677040120 has 1440 divisors, whose sum is σ = 27385142677200. Its totient is φ = 1335797858304.

The previous prime is 6399677040083. The next prime is 6399677040131. The reversal of 6399677040120 is 210407769936.

It is a happy number.

6399677040120 is a `hidden beast` number, since 6 + 3 + 99 + 67 + 70 + 401 + 20 = 666.

It is a super-2 number, since 2×6399677040120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2602551451 + ... + 2602553909.

Almost surely, 2^{6399677040120} is an apocalyptic number.

6399677040120 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 6399677040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13692571338600).

6399677040120 is an abundant number, since it is smaller than the sum of its proper divisors (20985465637080).

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

6399677040120 is a wasteful number, since it uses less digits than its factorization.

6399677040120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2619 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 6399677040120 in words is "six trillion, three hundred ninety-nine billion, six hundred seventy-seven million, forty thousand, one hundred twenty".