76329803212416 has 1792 divisors, whose sum is σ = 267616702483200. Its totient is φ = 21486424227840.

The previous prime is 76329803212381. The next prime is 76329803212433. The reversal of 76329803212416 is 61421230892367.

76329803212416 is a `hidden beast` number, since 7 + 6 + 3 + 2 + 9 + 8 + 0 + 3 + 212 + 416 = 666.

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

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 223 ways as a sum of consecutive naturals, for example, 60627325195 + ... + 60627326453.

It is an arithmetic number, because the mean of its divisors is an integer number (149339677725).

Almost surely, 2^{76329803212416} 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 76329803212416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133808351241600).

76329803212416 is an abundant number, since it is smaller than the sum of its proper divisors (191286899270784).

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

76329803212416 is a wasteful number, since it uses less digits than its factorization.

76329803212416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 76329803212416 in words is "seventy-six trillion, three hundred twenty-nine billion, eight hundred three million, two hundred twelve thousand, four hundred sixteen".