2672867272320 has 1536 divisors, whose sum is σ = 11275290201600. Its totient is φ = 596524400640.

The previous prime is 2672867272277. The next prime is 2672867272349. The reversal of 2672867272320 is 232727682762.

2672867272320 is a `hidden beast` number, since 2 + 67 + 286 + 7 + 272 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10400261632 + ... + 10400261888.

It is an arithmetic number, because the mean of its divisors is an integer number (7340683725).

Almost surely, 2^{2672867272320} is an apocalyptic number.

2672867272320 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 2672867272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5637645100800).

2672867272320 is an abundant number, since it is smaller than the sum of its proper divisors (8602422929280).

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

2672867272320 is a wasteful number, since it uses less digits than its factorization.

2672867272320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 2672867272320 in words is "two trillion, six hundred seventy-two billion, eight hundred sixty-seven million, two hundred seventy-two thousand, three hundred twenty".