7836237961632 has 192 divisors, whose sum is σ = 24108876288000. Its totient is φ = 2469432801024.

The previous prime is 7836237961609. The next prime is 7836237961681. The reversal of 7836237961632 is 2361697326387.

7836237961632 is a `hidden beast` number, since 7 + 8 + 3 + 6 + 2 + 3 + 7 + 9 + 616 + 3 + 2 = 666.

It is a super-2 number, since 2×7836237961632² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7836237961632.

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, 7364983 + ... + 8361545.

It is an arithmetic number, because the mean of its divisors is an integer number (125567064000).

Almost surely, 2^{7836237961632} is an apocalyptic number.

7836237961632 is a gapful number since it is divisible by the number (72) 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 7836237961632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12054438144000).

7836237961632 is an abundant number, since it is smaller than the sum of its proper divisors (16272638326368).

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

7836237961632 is a wasteful number, since it uses less digits than its factorization.

7836237961632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997080 (or 997066 counting only the distinct ones).

The product of its digits is 82301184, while the sum is 63.

The spelling of 7836237961632 in words is "seven trillion, eight hundred thirty-six billion, two hundred thirty-seven million, nine hundred sixty-one thousand, six hundred thirty-two".