768299916150 has 504 divisors, whose sum is σ = 2335786678656. Its totient is φ = 187841721600.

The previous prime is 768299916107. The next prime is 768299916193. The reversal of 768299916150 is 51619992867.

768299916150 is a `hidden beast` number, since 7 + 6 + 8 + 2 + 9 + 9 + 9 + 1 + 615 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (768299916107) and next prime (768299916193).

It is a super-2 number, since 2×768299916150² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 1176569224 + ... + 1176569876.

Almost surely, 2^768299916150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768299916150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167893339328).

768299916150 is an abundant number, since it is smaller than the sum of its proper divisors (1567486762506).

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

768299916150 is a wasteful number, since it uses less digits than its factorization.

768299916150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 768299916150 in words is "seven hundred sixty-eight billion, two hundred ninety-nine million, nine hundred sixteen thousand, one hundred fifty".