76210416000000 has 616 divisors, whose sum is σ = 282120965367920. Its totient is φ = 20322662400000.

The previous prime is 76210415999989. The next prime is 76210416000007. The reversal of 76210416000000 is 61401267.

76210416000000 is a `hidden beast` number, since 7 + 6 + 2 + 10 + 41 + 600 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76210416000007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 431911794 + ... + 432088206.

Almost surely, 2^{76210416000000} 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 76210416000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141060482683960).

76210416000000 is an abundant number, since it is smaller than the sum of its proper divisors (205910549367920).

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

76210416000000 is an frugal number, since it uses more digits than its factorization.

76210416000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176472 (or 176423 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 76210416000000 its reverse (61401267), we get a palindrome (76210477401267).

The spelling of 76210416000000 in words is "seventy-six trillion, two hundred ten billion, four hundred sixteen million", and thus it is an aban number.