42924791669760 has 5632 divisors, whose sum is σ = 220776610037760. Its totient is φ = 7610145177600.

The previous prime is 42924791669759. The next prime is 42924791669821. The reversal of 42924791669760 is 6796619742924.

It is a happy number.

42924791669760 is a `hidden beast` number, since 4 + 2 + 9 + 2 + 479 + 1 + 6 + 6 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (5632).

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 167022535552 + ... + 167022535808.

Almost surely, 2^{42924791669760} is an apocalyptic number.

42924791669760 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 42924791669760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110388305018880).

42924791669760 is an abundant number, since it is smaller than the sum of its proper divisors (177851818368000).

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

42924791669760 is a wasteful number, since it uses less digits than its factorization.

42924791669760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 42924791669760 in words is "forty-two trillion, nine hundred twenty-four billion, seven hundred ninety-one million, six hundred sixty-nine thousand, seven hundred sixty".