76536345600 has 1584 divisors, whose sum is σ = 339268535424. Its totient is φ = 16220160000.

The previous prime is 76536345593. The next prime is 76536345607. The reversal of 76536345600 is 654363567.

76536345600 is a `hidden beast` number, since 7 + 6 + 5 + 3 + 6 + 34 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (76536345593) and next prime (76536345607).

It is a tau number, because it is divible by the number of its divisors (1584).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76536345607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 757785550 + ... + 757785650.

Almost surely, 2^76536345600 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 76536345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169634267712).

76536345600 is an abundant number, since it is smaller than the sum of its proper divisors (262732189824).

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

76536345600 is a wasteful number, since it uses less digits than its factorization.

76536345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 76536345600 in words is "seventy-six billion, five hundred thirty-six million, three hundred forty-five thousand, six hundred".