42764166146724 has 48 divisors (see below), whose sum is σ = 108953470495296. Its totient is φ = 12947025203200.

The previous prime is 42764166146659. The next prime is 42764166146789.

42764166146724 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (42764166146659) and next prime (42764166146789).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147517437 + ... + 147807044.

It is an arithmetic number, because the mean of its divisors is an integer number (2269863968652).

Almost surely, 2^{42764166146724} is an apocalyptic number.

42764166146724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42764166146724 is an abundant number, since it is smaller than the sum of its proper divisors (66189304348572).

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

42764166146724 is a wasteful number, since it uses less digits than its factorization.

42764166146724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295325596 (or 295325594 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 60.

The spelling of 42764166146724 in words is "forty-two trillion, seven hundred sixty-four billion, one hundred sixty-six million, one hundred forty-six thousand, seven hundred twenty-four".