7858981659648 has 352 divisors, whose sum is σ = 24787082518528. Its totient is φ = 2166364569600.

The previous prime is 7858981659637. The next prime is 7858981659689. The reversal of 7858981659648 is 8469561898587.

It is a super-2 number, since 2×7858981659648² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220634736 + ... + 220670352.

It is an arithmetic number, because the mean of its divisors is an integer number (70417848064).

Almost surely, 2^{7858981659648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7858981659648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12393541259264).

7858981659648 is an abundant number, since it is smaller than the sum of its proper divisors (16928100858880).

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

7858981659648 is a wasteful number, since it uses less digits than its factorization.

7858981659648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36009 (or 35991 counting only the distinct ones).

The product of its digits is 8360755200, while the sum is 84.

The spelling of 7858981659648 in words is "seven trillion, eight hundred fifty-eight billion, nine hundred eighty-one million, six hundred fifty-nine thousand, six hundred forty-eight".