76216416480 has 384 divisors, whose sum is σ = 277259673600. Its totient is φ = 19533312000.

The previous prime is 76216416473. The next prime is 76216416503. The reversal of 76216416480 is 8461461267.

76216416480 is a `hidden beast` number, since 7 + 6 + 2 + 164 + 1 + 6 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20220036 + ... + 20223804.

It is an arithmetic number, because the mean of its divisors is an integer number (722030400).

Almost surely, 2^76216416480 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 76216416480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138629836800).

76216416480 is an abundant number, since it is smaller than the sum of its proper divisors (201043257120).

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

76216416480 is a wasteful number, since it uses less digits than its factorization.

76216416480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3975 (or 3961 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 76216416480 in words is "seventy-six billion, two hundred sixteen million, four hundred sixteen thousand, four hundred eighty".