76164464376 has 960 divisors, whose sum is σ = 295247808000. Its totient is φ = 18030055680.

The previous prime is 76164464347. The next prime is 76164464377. The reversal of 76164464376 is 67346446167.

76164464376 is a `hidden beast` number, since 7 + 6 + 164 + 46 + 437 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76164464377) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 964107105 + ... + 964107183.

It is an arithmetic number, because the mean of its divisors is an integer number (307549800).

Almost surely, 2^76164464376 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 76164464376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147623904000).

76164464376 is an abundant number, since it is smaller than the sum of its proper divisors (219083343624).

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

76164464376 is a wasteful number, since it uses less digits than its factorization.

76164464376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 115 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

The spelling of 76164464376 in words is "seventy-six billion, one hundred sixty-four million, four hundred sixty-four thousand, three hundred seventy-six".