769470051168 has 1152 divisors, whose sum is σ = 2971072742400. Its totient is φ = 191651733504.

The previous prime is 769470051139. The next prime is 769470051187. The reversal of 769470051168 is 861150074967.

769470051168 is a `hidden beast` number, since 7 + 6 + 9 + 470 + 0 + 5 + 1 + 168 = 666.

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

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, 1126602955 + ... + 1126603637.

It is an arithmetic number, because the mean of its divisors is an integer number (2579056200).

Almost surely, 2^769470051168 is an apocalyptic number.

769470051168 is a gapful number since it is divisible by the number (78) 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 769470051168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485536371200).

769470051168 is an abundant number, since it is smaller than the sum of its proper divisors (2201602691232).

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

769470051168 is a wasteful number, since it uses less digits than its factorization.

769470051168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 769470051168 in words is "seven hundred sixty-nine billion, four hundred seventy million, fifty-one thousand, one hundred sixty-eight".