42487692072 has 128 divisors (see below), whose sum is σ = 125419069440. Its totient is φ = 11737463040.

The previous prime is 42487692047. The next prime is 42487692077. The reversal of 42487692072 is 27029678424.

It is not an unprimeable number, because it can be changed into a prime (42487692077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7428958 + ... + 7434674.

It is an arithmetic number, because the mean of its divisors is an integer number (979836480).

Almost surely, 2^42487692072 is an apocalyptic number.

42487692072 is a gapful number since it is divisible by the number (42) 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 42487692072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62709534720).

42487692072 is an abundant number, since it is smaller than the sum of its proper divisors (82931377368).

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

42487692072 is a wasteful number, since it uses less digits than its factorization.

42487692072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7191 (or 7187 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 42487692072 in words is "forty-two billion, four hundred eighty-seven million, six hundred ninety-two thousand, seventy-two".