6116972415840 has 576 divisors, whose sum is σ = 25342882084800. Its totient is φ = 1368831467520.

The previous prime is 6116972415839. The next prime is 6116972415857. The reversal of 6116972415840 is 485142796116.

6116972415840 is a `hidden beast` number, since 6 + 1 + 16 + 9 + 7 + 2 + 41 + 584 + 0 = 666.

It is a super-2 number, since 2×6116972415840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6345276 + ... + 7245444.

It is an arithmetic number, because the mean of its divisors is an integer number (43998059175).

Almost surely, 2^{6116972415840} is an apocalyptic number.

6116972415840 is a gapful number since it is divisible by the number (60) 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 6116972415840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12671441042400).

6116972415840 is an abundant number, since it is smaller than the sum of its proper divisors (19225909668960).

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

6116972415840 is a wasteful number, since it uses less digits than its factorization.

6116972415840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900228 (or 900203 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 6116972415840 in words is "six trillion, one hundred sixteen billion, nine hundred seventy-two million, four hundred fifteen thousand, eight hundred forty".