76311533376 has 448 divisors, whose sum is σ = 259073660160. Its totient is φ = 22090309632.

The previous prime is 76311533371. The next prime is 76311533387. The reversal of 76311533376 is 67333511367.

76311533376 is a `hidden beast` number, since 7 + 631 + 1 + 5 + 3 + 3 + 3 + 7 + 6 = 666.

It is a super-3 number, since 3×76311533376³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76311533371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30931695 + ... + 30934161.

It is an arithmetic number, because the mean of its divisors is an integer number (578289420).

Almost surely, 2^76311533376 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 76311533376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129536830080).

76311533376 is an abundant number, since it is smaller than the sum of its proper divisors (182762126784).

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

76311533376 is a wasteful number, since it uses less digits than its factorization.

76311533376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530 (or 2502 counting only the distinct ones).

The product of its digits is 714420, while the sum is 45.

The spelling of 76311533376 in words is "seventy-six billion, three hundred eleven million, five hundred thirty-three thousand, three hundred seventy-six".