6677894462400 has 2016 divisors, whose sum is σ = 29725531729920. Its totient is φ = 1387487232000.

The previous prime is 6677894462387. The next prime is 6677894462483. The reversal of 6677894462400 is 42644987766.

6677894462400 is a `hidden beast` number, since 6 + 6 + 77 + 89 + 446 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8133853990 + ... + 8133854810.

Almost surely, 2^{6677894462400} is an apocalyptic number.

6677894462400 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 6677894462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14862765864960).

6677894462400 is an abundant number, since it is smaller than the sum of its proper divisors (23047637267520).

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

6677894462400 is a wasteful number, since it uses less digits than its factorization.

6677894462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 6677894462400 in words is "six trillion, six hundred seventy-seven billion, eight hundred ninety-four million, four hundred sixty-two thousand, four hundred".