76216533120 has 1024 divisors, whose sum is σ = 349848576000. Its totient is φ = 15228518400.

The previous prime is 76216533119. The next prime is 76216533121. The reversal of 76216533120 is 2133561267.

76216533120 is a `hidden beast` number, since 7 + 621 + 6 + 5 + 3 + 3 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (76216533119) and next prime (76216533121).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (76216533121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29875845 + ... + 29878395.

It is an arithmetic number, because the mean of its divisors is an integer number (341649000).

Almost surely, 2^76216533120 is an apocalyptic number.

76216533120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76216533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174924288000).

76216533120 is an abundant number, since it is smaller than the sum of its proper divisors (273632042880).

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

76216533120 is a wasteful number, since it uses less digits than its factorization.

76216533120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 76216533120 in words is "seventy-six billion, two hundred sixteen million, five hundred thirty-three thousand, one hundred twenty".