296742346560 has 1512 divisors, whose sum is σ = 1259249610528. Its totient is φ = 65952921600.

The previous prime is 296742346531. The next prime is 296742346627. The reversal of 296742346560 is 65643247692.

296742346560 is a `hidden beast` number, since 2 + 9 + 6 + 7 + 42 + 34 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 296742346497 and 296742346506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9572333745 + ... + 9572333775.

It is an arithmetic number, because the mean of its divisors is an integer number (832837044).

Almost surely, 2^296742346560 is an apocalyptic number.

296742346560 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 296742346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629624805264).

296742346560 is an abundant number, since it is smaller than the sum of its proper divisors (962507263968).

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

296742346560 is a wasteful number, since it uses less digits than its factorization.

296742346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 296742346560 in words is "two hundred ninety-six billion, seven hundred forty-two million, three hundred forty-six thousand, five hundred sixty".