76046766414000 has 160 divisors (see below), whose sum is σ = 245189786849280. Its totient is φ = 20277896032000.

The previous prime is 76046766413963. The next prime is 76046766414011. The reversal of 76046766414000 is 41466764067.

It is a happy number.

It is a super-2 number, since 2×76046766414000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99766321 + ... + 100525679.

It is an arithmetic number, because the mean of its divisors is an integer number (1532436167808).

Almost surely, 2^{76046766414000} 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 76046766414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122594893424640).

76046766414000 is an abundant number, since it is smaller than the sum of its proper divisors (169143020435280).

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

76046766414000 is a wasteful number, since it uses less digits than its factorization.

76046766414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776076 (or 776060 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 76046766414000 in words is "seventy-six trillion, forty-six billion, seven hundred sixty-six million, four hundred fourteen thousand".