78366645504000 has 2304 divisors, whose sum is σ = 344913125356800. Its totient is φ = 17492557824000.

The previous prime is 78366645503933. The next prime is 78366645504023. The reversal of 78366645504000 is 40554666387.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×78366645504000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 14563581310 + ... + 14563586690.

It is an arithmetic number, because the mean of its divisors is an integer number (149701877325).

Almost surely, 2^{78366645504000} is an apocalyptic number.

78366645504000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78366645504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172456562678400).

78366645504000 is an abundant number, since it is smaller than the sum of its proper divisors (266546479852800).

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

78366645504000 is a wasteful number, since it uses less digits than its factorization.

78366645504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5484 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 78366645504000 in words is "seventy-eight trillion, three hundred sixty-six billion, six hundred forty-five million, five hundred four thousand".