78091037746560 has 3840 divisors, whose sum is σ = 336725225971200. Its totient is φ = 17106105139200.

The previous prime is 78091037746499. The next prime is 78091037746573. The reversal of 78091037746560 is 6564773019087.

78091037746560 is a `hidden beast` number, since 7 + 8 + 0 + 9 + 103 + 7 + 7 + 465 + 60 = 666.

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 479 ways as a sum of consecutive naturals, for example, 370099704855 + ... + 370099705065.

It is an arithmetic number, because the mean of its divisors is an integer number (87688860930).

Almost surely, 2^{78091037746560} 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 78091037746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168362612985600).

78091037746560 is an abundant number, since it is smaller than the sum of its proper divisors (258634188224640).

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

78091037746560 is a wasteful number, since it uses less digits than its factorization.

78091037746560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 78091037746560 in words is "seventy-eight trillion, ninety-one billion, thirty-seven million, seven hundred forty-six thousand, five hundred sixty".