78129769536 has 560 divisors, whose sum is σ = 294928381440. Its totient is φ = 19891630080.

The previous prime is 78129769513. The next prime is 78129769559. The reversal of 78129769536 is 63596792187.

78129769536 is a `hidden beast` number, since 7 + 8 + 1 + 2 + 97 + 6 + 9 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (78129769513) and next prime (78129769559).

It is a super-2 number, since 2×78129769536² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13677721 + ... + 13683431.

It is an arithmetic number, because the mean of its divisors is an integer number (526657824).

Almost surely, 2^78129769536 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 78129769536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147464190720).

78129769536 is an abundant number, since it is smaller than the sum of its proper divisors (216798611904).

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

78129769536 is a wasteful number, since it uses less digits than its factorization.

78129769536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5784 (or 5765 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The spelling of 78129769536 in words is "seventy-eight billion, one hundred twenty-nine million, seven hundred sixty-nine thousand, five hundred thirty-six".