2672775864900 has 720 divisors, whose sum is σ = 9753820965504. Its totient is φ = 629502382080.

The previous prime is 2672775864851. The next prime is 2672775864911. The reversal of 2672775864900 is 94685772762.

2672775864900 is a `hidden beast` number, since 2 + 6 + 7 + 2 + 7 + 7 + 586 + 49 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 167848339 + ... + 167864261.

Almost surely, 2^{2672775864900} is an apocalyptic number.

2672775864900 is a gapful number since it is divisible by the number (20) 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 2672775864900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876910482752).

2672775864900 is an abundant number, since it is smaller than the sum of its proper divisors (7081045100604).

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

2672775864900 is a wasteful number, since it uses less digits than its factorization.

2672775864900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16042 (or 16026 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 2672775864900 in words is "two trillion, six hundred seventy-two billion, seven hundred seventy-five million, eight hundred sixty-four thousand, nine hundred".