78326418147264 has 252 divisors, whose sum is σ = 261182779767000. Its totient is φ = 22377280859136.

The previous prime is 78326418147247. The next prime is 78326418147287. The reversal of 78326418147264 is 46274181462387.

It is a happy number.

78326418147264 is a `hidden beast` number, since 7 + 8 + 3 + 26 + 4 + 1 + 81 + 472 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×78326418147264² (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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 399243307 + ... + 399439445.

It is an arithmetic number, because the mean of its divisors is an integer number (1036439602250).

Almost surely, 2^{78326418147264} 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 78326418147264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130591389883500).

78326418147264 is an abundant number, since it is smaller than the sum of its proper divisors (182856361619736).

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

78326418147264 is a wasteful number, since it uses less digits than its factorization.

78326418147264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210320 (or 210300 counting only the distinct ones).

The product of its digits is 86704128, while the sum is 63.

The spelling of 78326418147264 in words is "seventy-eight trillion, three hundred twenty-six billion, four hundred eighteen million, one hundred forty-seven thousand, two hundred sixty-four".