6140511820464 has 160 divisors (see below), whose sum is σ = 19085117760000. Its totient is φ = 1661934661632.

The previous prime is 6140511820459. The next prime is 6140511820501. The reversal of 6140511820464 is 4640281150416.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76880902 + ... + 76960730.

It is an arithmetic number, because the mean of its divisors is an integer number (119281986000).

Almost surely, 2^{6140511820464} 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 6140511820464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9542558880000).

6140511820464 is an abundant number, since it is smaller than the sum of its proper divisors (12944605939536).

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

6140511820464 is a wasteful number, since it uses less digits than its factorization.

6140511820464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91915 (or 91909 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 6140511820464 in words is "six trillion, one hundred forty billion, five hundred eleven million, eight hundred twenty thousand, four hundred sixty-four".