42702807684096 has 792 divisors, whose sum is σ = 153717432410880. Its totient is φ = 11354815954944.

The previous prime is 42702807684077. The next prime is 42702807684127. The reversal of 42702807684096 is 69048670820724.

42702807684096 is a `hidden beast` number, since 4 + 270 + 280 + 7 + 6 + 84 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 384242425 + ... + 384353543.

Almost surely, 2^{42702807684096} is an apocalyptic number.

42702807684096 is a gapful number since it is divisible by the number (46) 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 42702807684096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76858716205440).

42702807684096 is an abundant number, since it is smaller than the sum of its proper divisors (111014624726784).

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

42702807684096 is a wasteful number, since it uses less digits than its factorization.

42702807684096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111219 (or 111191 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 42702807684096 in words is "forty-two trillion, seven hundred two billion, eight hundred seven million, six hundred eighty-four thousand, ninety-six".