76459090419712 has 224 divisors, whose sum is σ = 205304208810624. Its totient is φ = 27497771827200.

The previous prime is 76459090419709. The next prime is 76459090419727. The reversal of 76459090419712 is 21791409095467.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3538162 + ... + 12862222.

It is an arithmetic number, because the mean of its divisors is an integer number (916536646476).

Almost surely, 2^{76459090419712} 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 76459090419712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102652104405312).

76459090419712 is an abundant number, since it is smaller than the sum of its proper divisors (128845118390912).

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

76459090419712 is a wasteful number, since it uses less digits than its factorization.

76459090419712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9324118 (or 9324094 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 64.

The spelling of 76459090419712 in words is "seventy-six trillion, four hundred fifty-nine billion, ninety million, four hundred nineteen thousand, seven hundred twelve".