76321064540160 has 1536 divisors, whose sum is σ = 309471611904000. Its totient is φ = 17660834611200.

The previous prime is 76321064540143. The next prime is 76321064540297. The reversal of 76321064540160 is 6104546012367.

76321064540160 is a `hidden beast` number, since 7 + 6 + 32 + 1 + 0 + 6 + 454 + 0 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-3 number, since 3×76321064540160³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48335062251 + ... + 48335063829.

It is an arithmetic number, because the mean of its divisors is an integer number (201478914000).

Almost surely, 2^{76321064540160} 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 76321064540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154735805952000).

76321064540160 is an abundant number, since it is smaller than the sum of its proper divisors (233150547363840).

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

76321064540160 is a wasteful number, since it uses less digits than its factorization.

76321064540160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 76321064540160 in words is "seventy-six trillion, three hundred twenty-one billion, sixty-four million, five hundred forty thousand, one hundred sixty".