76463481600 has 1620 divisors, whose sum is σ = 330388260048. Its totient is φ = 17396121600.

The previous prime is 76463481593. The next prime is 76463481607. The reversal of 76463481600 is 618436467.

It is a happy number.

76463481600 is a `hidden beast` number, since 7 + 6 + 4 + 6 + 34 + 8 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (76463481593) and next prime (76463481607).

It is a tau number, because it is divible by the number of its divisors (1620).

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

It is not an unprimeable number, because it can be changed into a prime (76463481607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1442707174 + ... + 1442707226.

Almost surely, 2^76463481600 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 76463481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165194130024).

76463481600 is an abundant number, since it is smaller than the sum of its proper divisors (253924778448).

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

76463481600 is a wasteful number, since it uses less digits than its factorization.

76463481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 76463481600 in words is "seventy-six billion, four hundred sixty-three million, four hundred eighty-one thousand, six hundred".