4742689585920 has 1152 divisors, whose sum is σ = 18711094929408. Its totient is φ = 1007380070400.

The previous prime is 4742689585891. The next prime is 4742689585987. The reversal of 4742689585920 is 295859862474.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1730275750 + ... + 1730278490.

It is an arithmetic number, because the mean of its divisors is an integer number (16242269904).

Almost surely, 2^{4742689585920} is an apocalyptic number.

4742689585920 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 4742689585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9355547464704).

4742689585920 is an abundant number, since it is smaller than the sum of its proper divisors (13968405343488).

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

4742689585920 is a wasteful number, since it uses less digits than its factorization.

4742689585920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 69.

The spelling of 4742689585920 in words is "four trillion, seven hundred forty-two billion, six hundred eighty-nine million, five hundred eighty-five thousand, nine hundred twenty".