78473760024960 has 640 divisors, whose sum is σ = 298864111946400. Its totient is φ = 19553651195904.

The previous prime is 78473760024949. The next prime is 78473760024967. The reversal of 78473760024960 is 6942006737487.

It is a happy number.

78473760024960 is a `hidden beast` number, since 7 + 8 + 4 + 73 + 76 + 0 + 0 + 2 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78473760024967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 122177614 + ... + 122818226.

Almost surely, 2^{78473760024960} 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 78473760024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149432055973200).

78473760024960 is an abundant number, since it is smaller than the sum of its proper divisors (220390351921440).

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

78473760024960 is a wasteful number, since it uses less digits than its factorization.

78473760024960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640800 (or 640779 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 78473760024960 in words is "seventy-eight trillion, four hundred seventy-three billion, seven hundred sixty million, twenty-four thousand, nine hundred sixty".