42684679457000 has 64 divisors (see below), whose sum is σ = 114151028509440. Its totient is φ = 14634747240000.

The previous prime is 42684679456999. The next prime is 42684679457011. The reversal of 42684679457000 is 75497648624.

It is a happy number.

It is a super-3 number, since 3×42684679457000³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3048898676 + ... + 3048912675.

It is an arithmetic number, because the mean of its divisors is an integer number (1783609820460).

Almost surely, 2^{42684679457000} is an apocalyptic number.

42684679457000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42684679457000 is an abundant number, since it is smaller than the sum of its proper divisors (71466349052440).

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

42684679457000 is a wasteful number, since it uses less digits than its factorization.

42684679457000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6097811379 (or 6097811365 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 62.

The spelling of 42684679457000 in words is "forty-two trillion, six hundred eighty-four billion, six hundred seventy-nine million, four hundred fifty-seven thousand".