10677462387742 has 64 divisors (see below), whose sum is σ = 17601944371200. Its totient is φ = 4838305651200.

The previous prime is 10677462387637. The next prime is 10677462387751. The reversal of 10677462387742 is 24778326477601.

It is a super-3 number, since 3×10677462387742³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 63648198 + ... + 63815734.

It is an arithmetic number, because the mean of its divisors is an integer number (275030380800).

Almost surely, 2^{10677462387742} is an apocalyptic number.

10677462387742 is a deficient number, since it is larger than the sum of its proper divisors (6924481983458).

10677462387742 is a wasteful number, since it uses less digits than its factorization.

10677462387742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168121.

The product of its (nonzero) digits is 132765696, while the sum is 64.

The spelling of 10677462387742 in words is "ten trillion, six hundred seventy-seven billion, four hundred sixty-two million, three hundred eighty-seven thousand, seven hundred forty-two".