42870458695680 has 2160 divisors, whose sum is σ = 189810932822784. Its totient is φ = 8850757386240.

The previous prime is 42870458695657. The next prime is 42870458695709. The reversal of 42870458695680 is 8659685407824.

42870458695680 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 0 + 4 + 58 + 6 + 9 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 42870458695599 and 42870458695608.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 92592783129 + ... + 92592783591.

Almost surely, 2^{42870458695680} is an apocalyptic number.

42870458695680 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 42870458695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94905466411392).

42870458695680 is an abundant number, since it is smaller than the sum of its proper divisors (146940474127104).

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

42870458695680 is a wasteful number, since it uses less digits than its factorization.

42870458695680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 42870458695680 in words is "forty-two trillion, eight hundred seventy billion, four hundred fifty-eight million, six hundred ninety-five thousand, six hundred eighty".