6276402648000 has 672 divisors, whose sum is σ = 23098013565120. Its totient is φ = 1625685811200.

The previous prime is 6276402647981. The next prime is 6276402648013. The reversal of 6276402648000 is 8462046726.

6276402648000 is a `hidden beast` number, since 6 + 276 + 40 + 264 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1888774339 + ... + 1888777661.

Almost surely, 2^{6276402648000} is an apocalyptic number.

6276402648000 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 6276402648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11549006782560).

6276402648000 is an abundant number, since it is smaller than the sum of its proper divisors (16821610917120).

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

6276402648000 is a wasteful number, since it uses less digits than its factorization.

6276402648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4102 (or 4079 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 6276402648000 in words is "six trillion, two hundred seventy-six billion, four hundred two million, six hundred forty-eight thousand".