78256668672000 has 3024 divisors, whose sum is σ = 360588236578752. Its totient is φ = 16511297126400.

The previous prime is 78256668671983. The next prime is 78256668672019. The reversal of 78256668672000 is 27686665287.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×78256668672000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6019743743994 + ... + 6019743744006.

Almost surely, 2^{78256668672000} is an apocalyptic number.

78256668672000 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 78256668672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180294118289376).

78256668672000 is an abundant number, since it is smaller than the sum of its proper divisors (282331567906752).

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

78256668672000 is an frugal number, since it uses more digits than its factorization.

78256668672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 78256668672000 in words is "seventy-eight trillion, two hundred fifty-six billion, six hundred sixty-eight million, six hundred seventy-two thousand".