2927172648960 has 864 divisors, whose sum is σ = 11976470618112. Its totient is φ = 647202078720.

The previous prime is 2927172648947. The next prime is 2927172648971. The reversal of 2927172648960 is 698462717292.

2927172648960 is a `hidden beast` number, since 2 + 9 + 2 + 71 + 7 + 26 + 489 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1279916937 + ... + 1279919223.

It is an arithmetic number, because the mean of its divisors is an integer number (13861655808).

Almost surely, 2^{2927172648960} is an apocalyptic number.

2927172648960 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 2927172648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5988235309056).

2927172648960 is an abundant number, since it is smaller than the sum of its proper divisors (9049297969152).

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

2927172648960 is an equidigital number, since it uses as much as digits as its factorization.

2927172648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 2927172648960 in words is "two trillion, nine hundred twenty-seven billion, one hundred seventy-two million, six hundred forty-eight thousand, nine hundred sixty".