6627914004096 has 1152 divisors, whose sum is σ = 25515165049920. Its totient is φ = 1693052928000.

The previous prime is 6627914004083. The next prime is 6627914004119. The reversal of 6627914004096 is 6904004197266.

It is a happy number.

6627914004096 is a `hidden beast` number, since 6 + 6 + 27 + 91 + 400 + 40 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1022665176 + ... + 1022671656.

Almost surely, 2^{6627914004096} is an apocalyptic number.

6627914004096 is a gapful number since it is divisible by the number (66) 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 6627914004096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12757582524960).

6627914004096 is an abundant number, since it is smaller than the sum of its proper divisors (18887251045824).

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

6627914004096 is a wasteful number, since it uses less digits than its factorization.

6627914004096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6596 (or 6565 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 6627914004096 in words is "six trillion, six hundred twenty-seven billion, nine hundred fourteen million, four thousand, ninety-six".