78289122953664 has 840 divisors, whose sum is σ = 284542147002960. Its totient is φ = 21163412422656.

The previous prime is 78289122953653. The next prime is 78289122953807. The reversal of 78289122953664 is 46635922198287.

78289122953664 is a `hidden beast` number, since 7 + 8 + 2 + 8 + 9 + 1 + 2 + 29 + 536 + 64 = 666.

It is a super-2 number, since 2×78289122953664² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 78289122953592 and 78289122953601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3846554112 + ... + 3846574464.

It is an arithmetic number, because the mean of its divisors is an integer number (338740651194).

Almost surely, 2^{78289122953664} 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 78289122953664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142271073501480).

78289122953664 is an abundant number, since it is smaller than the sum of its proper divisors (206253024049296).

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

78289122953664 is a wasteful number, since it uses less digits than its factorization.

78289122953664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21207 (or 21181 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 78289122953664 in words is "seventy-eight trillion, two hundred eighty-nine billion, one hundred twenty-two million, nine hundred fifty-three thousand, six hundred sixty-four".