78417351936 has 1152 divisors, whose sum is σ = 312796753920. Its totient is φ = 18990858240.

The previous prime is 78417351913. The next prime is 78417351937. The reversal of 78417351936 is 63915371487.

78417351936 is a `hidden beast` number, since 7 + 8 + 417 + 35 + 193 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×78417351936² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3810240) is a multiple of the sum of its prime divisors (147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78417351937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 732872395 + ... + 732872501.

It is an arithmetic number, because the mean of its divisors is an integer number (271524960).

Almost surely, 2^78417351936 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 78417351936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156398376960).

78417351936 is an abundant number, since it is smaller than the sum of its proper divisors (234379401984).

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

78417351936 is a wasteful number, since it uses less digits than its factorization.

78417351936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 147 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 78417351936 in words is "seventy-eight billion, four hundred seventeen million, three hundred fifty-one thousand, nine hundred thirty-six".