7312873881600 has 1656 divisors, whose sum is σ = 31804765906368. Its totient is φ = 1630745395200.

The previous prime is 7312873881587. The next prime is 7312873881611. The reversal of 7312873881600 is 61883782137.

7312873881600 is a `hidden beast` number, since 7 + 3 + 1 + 28 + 7 + 3 + 8 + 8 + 1 + 600 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 178362777580 + ... + 178362777620.

Almost surely, 2^{7312873881600} is an apocalyptic number.

7312873881600 is a gapful number since it is divisible by the number (70) 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 7312873881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15902382953184).

7312873881600 is an abundant number, since it is smaller than the sum of its proper divisors (24491892024768).

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

7312873881600 is an frugal number, since it uses more digits than its factorization.

7312873881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 7312873881600 in words is "seven trillion, three hundred twelve billion, eight hundred seventy-three million, eight hundred eighty-one thousand, six hundred".