78666214404960 has 2880 divisors, whose sum is σ = 369811769830272. Its totient is φ = 15574526263296.

The previous prime is 78666214404929. The next prime is 78666214405007. The reversal of 78666214404960 is 6940441266687.

It is a happy number.

78666214404960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 479 ways as a sum of consecutive naturals, for example, 10063474972 + ... + 10063482788.

Almost surely, 2^{78666214404960} is an apocalyptic number.

78666214404960 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 78666214404960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184905884915136).

78666214404960 is an abundant number, since it is smaller than the sum of its proper divisors (291145555425312).

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

78666214404960 is a wasteful number, since it uses less digits than its factorization.

78666214404960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7947 (or 7923 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 78666214404960 in words is "seventy-eight trillion, six hundred sixty-six billion, two hundred fourteen million, four hundred four thousand, nine hundred sixty".