78433692480 has 1008 divisors, whose sum is σ = 327635957376. Its totient is φ = 16976977920.

The previous prime is 78433692479. The next prime is 78433692481. The reversal of 78433692480 is 8429633487.

78433692480 is a `hidden beast` number, since 7 + 8 + 43 + 36 + 92 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (78433692479) and next prime (78433692481).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78433692481) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 761492109 + ... + 761492211.

It is an arithmetic number, because the mean of its divisors is an integer number (325035672).

Almost surely, 2^78433692480 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 78433692480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163817978688).

78433692480 is an abundant number, since it is smaller than the sum of its proper divisors (249202264896).

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

78433692480 is a wasteful number, since it uses less digits than its factorization.

78433692480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 78433692480 in words is "seventy-eight billion, four hundred thirty-three million, six hundred ninety-two thousand, four hundred eighty".