78438289487040 has 2688 divisors, whose sum is σ = 341573537710080. Its totient is φ = 16132467326976.

The previous prime is 78438289486979. The next prime is 78438289487059. The reversal of 78438289487040 is 4078498283487.

It is a happy number.

78438289487040 is a `hidden beast` number, since 7 + 8 + 438 + 2 + 89 + 4 + 8 + 70 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 78438289487040.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 71764216734 + ... + 71764217826.

Almost surely, 2^{78438289487040} is an apocalyptic number.

78438289487040 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 78438289487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170786768855040).

78438289487040 is an abundant number, since it is smaller than the sum of its proper divisors (263135248223040).

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

78438289487040 is a wasteful number, since it uses less digits than its factorization.

78438289487040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 693633024, while the sum is 72.

The spelling of 78438289487040 in words is "seventy-eight trillion, four hundred thirty-eight billion, two hundred eighty-nine million, four hundred eighty-seven thousand, forty".