16126568640 has 1344 divisors, whose sum is σ = 73810953216. Its totient is φ = 3260694528.

The previous prime is 16126568629. The next prime is 16126568651. The reversal of 16126568640 is 4686562161.

16126568640 is a `hidden beast` number, since 1 + 6 + 1 + 26 + 568 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16126568629) and next prime (16126568651).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×16126568640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 304274854 + ... + 304274906.

It is an arithmetic number, because the mean of its divisors is an integer number (54918864).

Almost surely, 2^16126568640 is an apocalyptic number.

16126568640 is a gapful number since it is divisible by the number (10) 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 16126568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36905476608).

16126568640 is an abundant number, since it is smaller than the sum of its proper divisors (57684384576).

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

16126568640 is a wasteful number, since it uses less digits than its factorization.

16126568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 16126568640 in words is "sixteen billion, one hundred twenty-six million, five hundred sixty-eight thousand, six hundred forty".