2736367872000 has 1536 divisors, whose sum is σ = 11185993728000. Its totient is φ = 579679027200.

The previous prime is 2736367871971. The next prime is 2736367872037. The reversal of 2736367872000 is 2787636372.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7219967811 + ... + 7219968189.

It is an arithmetic number, because the mean of its divisors is an integer number (7282548000).

Almost surely, 2^{2736367872000} is an apocalyptic number.

2736367872000 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 2736367872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5592996864000).

2736367872000 is an abundant number, since it is smaller than the sum of its proper divisors (8449625856000).

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

2736367872000 is a wasteful number, since it uses less digits than its factorization.

2736367872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 51.

The spelling of 2736367872000 in words is "two trillion, seven hundred thirty-six billion, three hundred sixty-seven million, eight hundred seventy-two thousand".