6672997416960 has 1824 divisors, whose sum is σ = 28470344378112. Its totient is φ = 1467670855680.

The previous prime is 6672997416901. The next prime is 6672997416989. The reversal of 6672997416960 is 696147992766.

6672997416960 is a `hidden beast` number, since 6 + 67 + 2 + 9 + 97 + 416 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 91410923484 + ... + 91410923556.

Almost surely, 2^{6672997416960} is an apocalyptic number.

6672997416960 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 6672997416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14235172189056).

6672997416960 is an abundant number, since it is smaller than the sum of its proper divisors (21797346961152).

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

6672997416960 is an frugal number, since it uses more digits than its factorization.

6672997416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 370355328, while the sum is 72.

The spelling of 6672997416960 in words is "six trillion, six hundred seventy-two billion, nine hundred ninety-seven million, four hundred sixteen thousand, nine hundred sixty".