6416057676000 has 768 divisors, whose sum is σ = 24525313892352. Its totient is φ = 1435898880000.

The previous prime is 6416057675999. The next prime is 6416057676097. The reversal of 6416057676000 is 6767506146.

It is a super-2 number, since 2×6416057676000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2729074825 + ... + 2729077175.

It is an arithmetic number, because the mean of its divisors is an integer number (31934002464).

Almost surely, 2^{6416057676000} is an apocalyptic number.

6416057676000 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 6416057676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12262656946176).

6416057676000 is an abundant number, since it is smaller than the sum of its proper divisors (18109256216352).

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

6416057676000 is a wasteful number, since it uses less digits than its factorization.

6416057676000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 6416057676000 in words is "six trillion, four hundred sixteen billion, fifty-seven million, six hundred seventy-six thousand".