6117399167040 has 672 divisors, whose sum is σ = 25156208361600. Its totient is φ = 1395367464960.

The previous prime is 6117399166927. The next prime is 6117399167063. The reversal of 6117399167040 is 407619937116.

6117399167040 is a `hidden beast` number, since 611 + 7 + 3 + 9 + 9 + 16 + 7 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207855046 + ... + 207884474.

Almost surely, 2^{6117399167040} is an apocalyptic number.

6117399167040 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 6117399167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12578104180800).

6117399167040 is an abundant number, since it is smaller than the sum of its proper divisors (19038809194560).

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

6117399167040 is a wasteful number, since it uses less digits than its factorization.

6117399167040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29960 (or 29937 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

It can be divided in two parts, 611739 and 9167040, that added together give a palindrome (9778779).

The spelling of 6117399167040 in words is "six trillion, one hundred seventeen billion, three hundred ninety-nine million, one hundred sixty-seven thousand, forty".