42724313673672 has 32 divisors (see below), whose sum is σ = 112432404405600. Its totient is φ = 13491888528384.

The previous prime is 42724313673667. The next prime is 42724313673673. The reversal of 42724313673672 is 27637631342724.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (42724313673673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46846834713 + ... + 46846835624.

It is an arithmetic number, because the mean of its divisors is an integer number (3513512637675).

Almost surely, 2^{42724313673672} is an apocalyptic number.

It is an amenable number.

42724313673672 is an abundant number, since it is smaller than the sum of its proper divisors (69708090731928).

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

42724313673672 is a wasteful number, since it uses less digits than its factorization.

42724313673672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93693670365 (or 93693670361 counting only the distinct ones).

The product of its digits is 42674688, while the sum is 57.

The spelling of 42724313673672 in words is "forty-two trillion, seven hundred twenty-four billion, three hundred thirteen million, six hundred seventy-three thousand, six hundred seventy-two".