42672779520 has 432 divisors, whose sum is σ = 162876319872. Its totient is φ = 9326592000.

The previous prime is 42672779507. The next prime is 42672779621. The reversal of 42672779520 is 2597727624.

It is a super-2 number, since 2×42672779520² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14218020 + ... + 14221020.

Almost surely, 2^42672779520 is an apocalyptic number.

42672779520 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 42672779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81438159936).

42672779520 is an abundant number, since it is smaller than the sum of its proper divisors (120203540352).

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

42672779520 is a wasteful number, since it uses less digits than its factorization.

42672779520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 51.

The spelling of 42672779520 in words is "forty-two billion, six hundred seventy-two million, seven hundred seventy-nine thousand, five hundred twenty".