84797652642560 has 1728 divisors, whose sum is σ = 260944037609472. Its totient is φ = 26094182400000.

The previous prime is 84797652642553. The next prime is 84797652642569. The reversal of 84797652642560 is 6524625679748.

It is a super-2 number, since 2×84797652642560² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84797652642569) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 256186261595 + ... + 256186261925.

It is an arithmetic number, because the mean of its divisors is an integer number (151009281024).

Almost surely, 2^{84797652642560} is an apocalyptic number.

84797652642560 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 84797652642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130472018804736).

84797652642560 is an abundant number, since it is smaller than the sum of its proper divisors (176146384966912).

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

84797652642560 is a wasteful number, since it uses less digits than its factorization.

84797652642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 71.

The spelling of 84797652642560 in words is "eighty-four trillion, seven hundred ninety-seven billion, six hundred fifty-two million, six hundred forty-two thousand, five hundred sixty".