6416542129872 has 160 divisors (see below), whose sum is σ = 19418546847744. Its totient is φ = 1787669222400.

The previous prime is 6416542129853. The next prime is 6416542129913. The reversal of 6416542129872 is 2789212456146.

It is a super-2 number, since 2×6416542129872² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 3529972 + ... + 5029292.

Almost surely, 2^{6416542129872} 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 6416542129872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9709273423872).

6416542129872 is an abundant number, since it is smaller than the sum of its proper divisors (13002004717872).

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

6416542129872 is a wasteful number, since it uses less digits than its factorization.

6416542129872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499657 (or 1499651 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 57.

The spelling of 6416542129872 in words is "six trillion, four hundred sixteen billion, five hundred forty-two million, one hundred twenty-nine thousand, eight hundred seventy-two".