2667428856432 has 120 divisors (see below), whose sum is σ = 7626396450816. Its totient is φ = 869943247488.

The previous prime is 2667428856419. The next prime is 2667428856467. The reversal of 2667428856432 is 2346588247662.

2667428856432 is a `hidden beast` number, since 2 + 6 + 6 + 74 + 2 + 88 + 56 + 432 = 666.

It is a super-2 number, since 2×2667428856432² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2667428856432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21372033 + ... + 21496479.

Almost surely, 2^{2667428856432} 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 2667428856432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3813198225408).

2667428856432 is an abundant number, since it is smaller than the sum of its proper divisors (4958967594384).

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

2667428856432 is a wasteful number, since it uses less digits than its factorization.

2667428856432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127675 (or 127666 counting only the distinct ones).

The product of its digits is 185794560, while the sum is 63.

The spelling of 2667428856432 in words is "two trillion, six hundred sixty-seven billion, four hundred twenty-eight million, eight hundred fifty-six thousand, four hundred thirty-two".