968160687390 has 384 divisors, whose sum is σ = 3000654139392. Its totient is φ = 214148689920.

The previous prime is 968160687359. The next prime is 968160687401. The reversal of 968160687390 is 93786061869.

968160687390 is a `hidden beast` number, since 9 + 6 + 8 + 160 + 6 + 87 + 390 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 295981455 + ... + 295984725.

It is an arithmetic number, because the mean of its divisors is an integer number (7814203488).

Almost surely, 2^968160687390 is an apocalyptic number.

968160687390 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 968160687390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500327069696).

968160687390 is an abundant number, since it is smaller than the sum of its proper divisors (2032493452002).

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

968160687390 is a wasteful number, since it uses less digits than its factorization.

968160687390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3984 (or 3981 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 968160687390 in words is "nine hundred sixty-eight billion, one hundred sixty million, six hundred eighty-seven thousand, three hundred ninety".