7846861009536 has 192 divisors, whose sum is σ = 23209815793320. Its totient is φ = 2543556427776.

The previous prime is 7846861009513. The next prime is 7846861009541. The reversal of 7846861009536 is 6359001686487.

7846861009536 is a `hidden beast` number, since 7 + 8 + 4 + 6 + 8 + 610 + 0 + 9 + 5 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6914585793600 + 932275215936 = 2629560^2 + 965544^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6330660 + ... + 7467996.

Almost surely, 2^{7846861009536} 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 7846861009536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11604907896660).

7846861009536 is an abundant number, since it is smaller than the sum of its proper divisors (15362954783784).

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

7846861009536 is a wasteful number, since it uses less digits than its factorization.

7846861009536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137523 (or 1137508 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 7846861009536 in words is "seven trillion, eight hundred forty-six billion, eight hundred sixty-one million, nine thousand, five hundred thirty-six".