42615702360 has 768 divisors, whose sum is σ = 178561843200. Its totient is φ = 8559129600.

The previous prime is 42615702359. The next prime is 42615702397. The reversal of 42615702360 is 6320751624.

42615702360 is a `hidden beast` number, since 4 + 2 + 6 + 1 + 570 + 23 + 60 = 666.

It is a super-2 number, since 2×42615702360² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 116118897 + ... + 116119263.

It is an arithmetic number, because the mean of its divisors is an integer number (232502400).

Almost surely, 2^42615702360 is an apocalyptic number.

42615702360 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 42615702360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89280921600).

42615702360 is an abundant number, since it is smaller than the sum of its proper divisors (135946140840).

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

42615702360 is a wasteful number, since it uses less digits than its factorization.

42615702360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 42615702360 in words is "forty-two billion, six hundred fifteen million, seven hundred two thousand, three hundred sixty".