71766463968 has 240 divisors, whose sum is σ = 223897023504. Its totient is φ = 22472847360.

The previous prime is 71766463961. The next prime is 71766464039. The reversal of 71766463968 is 86936466717.

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 not an unprimeable number, because it can be changed into a prime (71766463961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30447046 + ... + 30449402.

Almost surely, 2^71766463968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71766463968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111948511752).

71766463968 is an abundant number, since it is smaller than the sum of its proper divisors (152130559536).

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

71766463968 is a wasteful number, since it uses less digits than its factorization.

71766463968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3087 (or 3070 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

It can be divided in two parts, 717 and 66463968, that added together give a triangular number (66464685 = T₁₁₅₂₉).

The spelling of 71766463968 in words is "seventy-one billion, seven hundred sixty-six million, four hundred sixty-three thousand, nine hundred sixty-eight".