6276372480000 has 3000 divisors, whose sum is σ = 28537475484672. Its totient is φ = 1343029248000.

The previous prime is 6276372479917. The next prime is 6276372480017. The reversal of 6276372480000 is 842736726.

6276372480000 is a `hidden beast` number, since 6 + 2 + 7 + 637 + 2 + 4 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3000).

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 199 ways as a sum of consecutive naturals, for example, 133539839977 + ... + 133539840023.

Almost surely, 2^{6276372480000} is an apocalyptic number.

6276372480000 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 6276372480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14268737742336).

6276372480000 is an abundant number, since it is smaller than the sum of its proper divisors (22261103004672).

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

6276372480000 is an frugal number, since it uses more digits than its factorization.

6276372480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 6276372480000 in words is "six trillion, two hundred seventy-six billion, three hundred seventy-two million, four hundred eighty thousand".