76671254436 has 192 divisors, whose sum is σ = 212804444160. Its totient is φ = 21031695360.

The previous prime is 76671254417. The next prime is 76671254449. The reversal of 76671254436 is 63445217667.

It is a super-3 number, since 3×76671254436³ (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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 63 ways as a sum of consecutive naturals, for example, 62690521 + ... + 62691743.

It is an arithmetic number, because the mean of its divisors is an integer number (1108356480).

Almost surely, 2^76671254436 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 76671254436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106402222080).

76671254436 is an abundant number, since it is smaller than the sum of its proper divisors (136133189724).

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

76671254436 is a wasteful number, since it uses less digits than its factorization.

76671254436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1552 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 51.

The spelling of 76671254436 in words is "seventy-six billion, six hundred seventy-one million, two hundred fifty-four thousand, four hundred thirty-six".