618876960768 has 816 divisors, whose sum is σ = 2143507871232. Its totient is φ = 169869312000.

The previous prime is 618876960739. The next prime is 618876960773. The reversal of 618876960768 is 867069678816.

618876960768 is a `hidden beast` number, since 6 + 1 + 8 + 8 + 7 + 6 + 9 + 607 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (816).

It is a super-2 number, since 2×618876960768² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 618876960696 and 618876960705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3419209638 + ... + 3419209818.

Almost surely, 2^618876960768 is an apocalyptic number.

618876960768 is a gapful number since it is divisible by the number (68) 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 618876960768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071753935616).

618876960768 is an abundant number, since it is smaller than the sum of its proper divisors (1524630910464).

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

618876960768 is a wasteful number, since it uses less digits than its factorization.

618876960768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 618876960768 in words is "six hundred eighteen billion, eight hundred seventy-six million, nine hundred sixty thousand, seven hundred sixty-eight".