2760164845200 has 1800 divisors, whose sum is σ = 11957154764544. Its totient is φ = 607606272000.

The previous prime is 2760164845199. The next prime is 2760164845213. The reversal of 2760164845200 is 25484610672.

2760164845200 is a `hidden beast` number, since 2 + 7 + 60 + 1 + 64 + 8 + 4 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 5297820940 + ... + 5297821460.

Almost surely, 2^{2760164845200} is an apocalyptic number.

2760164845200 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 2760164845200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5978577382272).

2760164845200 is an abundant number, since it is smaller than the sum of its proper divisors (9196989919344).

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

2760164845200 is a wasteful number, since it uses less digits than its factorization.

2760164845200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2760164845200 in words is "two trillion, seven hundred sixty billion, one hundred sixty-four million, eight hundred forty-five thousand, two hundred".