242320477537600 has 672 divisors, whose sum is σ = 745257969008640. Its totient is φ = 75338864640000.

The previous prime is 242320477537553. The next prime is 242320477537601. The reversal of 242320477537600 is 6735774023242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242320477537601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124203216625 + ... + 124203218575.

Almost surely, 2^{242320477537600} is an apocalyptic number.

242320477537600 is a gapful number since it is divisible by the number (20) 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 242320477537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372628984504320).

242320477537600 is an abundant number, since it is smaller than the sum of its proper divisors (502937491471040).

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

242320477537600 is a wasteful number, since it uses less digits than its factorization.

242320477537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4007 (or 3992 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 52.

The spelling of 242320477537600 in words is "two hundred forty-two trillion, three hundred twenty billion, four hundred seventy-seven million, five hundred thirty-seven thousand, six hundred".