42252637680 has 120 divisors (see below), whose sum is σ = 154798328880. Its totient is φ = 10243061760.

The previous prime is 42252637667. The next prime is 42252637711. The reversal of 42252637680 is 8673625224.

42252637680 is a `hidden beast` number, since 4 + 2 + 2 + 5 + 2 + 637 + 6 + 8 + 0 = 666.

42252637680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×42252637680³ (a number of 33 digits) contains 333 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 23 ways as a sum of consecutive naturals, for example, 2659545 + ... + 2675384.

It is an arithmetic number, because the mean of its divisors is an integer number (1289986074).

Almost surely, 2^42252637680 is an apocalyptic number.

42252637680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42252637680 is an abundant number, since it is smaller than the sum of its proper divisors (112545691200).

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

42252637680 is a wasteful number, since it uses less digits than its factorization.

42252637680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5334959 (or 5334950 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 42252637680 in words is "forty-two billion, two hundred fifty-two million, six hundred thirty-seven thousand, six hundred eighty".