42637666680 has 768 divisors, whose sum is σ = 181709568000. Its totient is φ = 8680255488.

The previous prime is 42637666667. The next prime is 42637666717. The reversal of 42637666680 is 8666673624.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46395261 + ... + 46396179.

It is an arithmetic number, because the mean of its divisors is an integer number (236601000).

Almost surely, 2^42637666680 is an apocalyptic number.

42637666680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42637666680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90854784000).

42637666680 is an abundant number, since it is smaller than the sum of its proper divisors (139071901320).

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

42637666680 is a wasteful number, since it uses less digits than its factorization.

42637666680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 42637666680 in words is "forty-two billion, six hundred thirty-seven million, six hundred sixty-six thousand, six hundred eighty".