78694674240 has 1008 divisors, whose sum is σ = 331926102720. Its totient is φ = 15699640320.

The previous prime is 78694674217. The next prime is 78694674241. The reversal of 78694674240 is 4247649687.

It is a happy number.

It is a super-3 number, since 3×78694674240³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78694674241) 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, 151045180 + ... + 151045700.

Almost surely, 2^78694674240 is an apocalyptic number.

78694674240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78694674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165963051360).

78694674240 is an abundant number, since it is smaller than the sum of its proper divisors (253231428480).

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

78694674240 is a wasteful number, since it uses less digits than its factorization.

78694674240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 57.

The spelling of 78694674240 in words is "seventy-eight billion, six hundred ninety-four million, six hundred seventy-four thousand, two hundred forty".