846747747648 has 336 divisors, whose sum is σ = 2664332341632. Its totient is φ = 254983680000.

The previous prime is 846747747619. The next prime is 846747747709.

846747747648 is a `hidden beast` number, since 8 + 46 + 7 + 4 + 77 + 476 + 48 = 666.

846747747648 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×846747747648² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1207913698 + ... + 1207914398.

Almost surely, 2^846747747648 is an apocalyptic number.

846747747648 is a gapful number since it is divisible by the number (88) 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 846747747648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332166170816).

846747747648 is an abundant number, since it is smaller than the sum of its proper divisors (1817584593984).

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

846747747648 is a wasteful number, since it uses less digits than its factorization.

846747747648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1641 counting only the distinct ones).

The product of its digits is 1416167424, while the sum is 72.

The spelling of 846747747648 in words is "eight hundred forty-six billion, seven hundred forty-seven million, seven hundred forty-seven thousand, six hundred forty-eight".