78238068974064 has 120 divisors (see below), whose sum is σ = 219175866355680. Its totient is φ = 26053409243136.

The previous prime is 78238068974059. The next prime is 78238068974069. The reversal of 78238068974064 is 46047986083287.

78238068974064 is a `hidden beast` number, since 7 + 8 + 2 + 380 + 68 + 97 + 40 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (78238068974059) and next prime (78238068974069).

It is a super-2 number, since 2×78238068974064² (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 = 78238068973983 and 78238068974001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78238068974069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 735038992 + ... + 735145424.

It is an arithmetic number, because the mean of its divisors is an integer number (1826465552964).

Almost surely, 2^{78238068974064} is an apocalyptic number.

It is an amenable number.

78238068974064 is an abundant number, since it is smaller than the sum of its proper divisors (140937797381616).

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

78238068974064 is a wasteful number, since it uses less digits than its factorization.

78238068974064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111479 (or 111470 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 78238068974064 in words is "seventy-eight trillion, two hundred thirty-eight billion, sixty-eight million, nine hundred seventy-four thousand, sixty-four".