8315274836960 has 288 divisors, whose sum is σ = 24983406092736. Its totient is φ = 2546751283200.

The previous prime is 8315274836849. The next prime is 8315274836987. The reversal of 8315274836960 is 696384725138.

It is a super-2 number, since 2×8315274836960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a junction number, because it is equal to n+sod(n) for n = 8315274836893 and 8315274836902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13695020 + ... + 14289300.

It is an arithmetic number, because the mean of its divisors is an integer number (86747937822).

It is a 1-persistent number, because it is pandigital, but 2⋅8315274836960 = 16630549673920 is not.

Almost surely, 2^{8315274836960} is an apocalyptic number.

8315274836960 is a gapful number since it is divisible by the number (80) 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 8315274836960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12491703046368).

8315274836960 is an abundant number, since it is smaller than the sum of its proper divisors (16668131255776).

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

8315274836960 is a wasteful number, since it uses less digits than its factorization.

8315274836960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594378 (or 594339 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 62.

The spelling of 8315274836960 in words is "eight trillion, three hundred fifteen billion, two hundred seventy-four million, eight hundred thirty-six thousand, nine hundred sixty".