42779627280 has 160 divisors (see below), whose sum is σ = 158686926720. Its totient is φ = 10530362880.

The previous prime is 42779627273. The next prime is 42779627321. The reversal of 42779627280 is 8272697724.

It is a happy number.

42779627280 is a `hidden beast` number, since 4 + 2 + 7 + 7 + 9 + 627 + 2 + 8 + 0 = 666.

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

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, 733666 + ... + 789825.

It is an arithmetic number, because the mean of its divisors is an integer number (991793292).

Almost surely, 2^42779627280 is an apocalyptic number.

42779627280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42779627280 is an abundant number, since it is smaller than the sum of its proper divisors (115907299440).

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

42779627280 is a wasteful number, since it uses less digits than its factorization.

42779627280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523526 (or 1523514 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 42779627280 in words is "forty-two billion, seven hundred seventy-nine million, six hundred twenty-seven thousand, two hundred eighty".