73800978448960 has 672 divisors, whose sum is σ = 211272963296256. Its totient is φ = 24048517939200.

The previous prime is 73800978448921. The next prime is 73800978448961. The reversal of 73800978448960 is 6984487900837.

It is a Harshad number since it is a multiple of its sum of digits (73).

It is not an unprimeable number, because it can be changed into a prime (73800978448961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42585676254 + ... + 42585677986.

Almost surely, 2^{73800978448960} is an apocalyptic number.

73800978448960 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 73800978448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105636481648128).

73800978448960 is an abundant number, since it is smaller than the sum of its proper divisors (137471984847296).

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

73800978448960 is a wasteful number, since it uses less digits than its factorization.

73800978448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 73.

The spelling of 73800978448960 in words is "seventy-three trillion, eight hundred billion, nine hundred seventy-eight million, four hundred forty-eight thousand, nine hundred sixty".