73954847472480 has 576 divisors, whose sum is σ = 288709109777088. Its totient is φ = 17077598945280.

The previous prime is 73954847472427. The next prime is 73954847472487. The reversal of 73954847472480 is 8427474845937.

73954847472480 is a `hidden beast` number, since 7 + 3 + 9 + 5 + 4 + 8 + 4 + 74 + 72 + 480 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 73954847472399 and 73954847472408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73954847472487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97321200 + ... + 98078160.

It is an arithmetic number, because the mean of its divisors is an integer number (501231093363).

Almost surely, 2^{73954847472480} 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 73954847472480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144354554888544).

73954847472480 is an abundant number, since it is smaller than the sum of its proper divisors (214754262304608).

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

73954847472480 is a wasteful number, since it uses less digits than its factorization.

73954847472480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757319 (or 757308 counting only the distinct ones).

The product of its (nonzero) digits is 1517322240, while the sum is 72.

The spelling of 73954847472480 in words is "seventy-three trillion, nine hundred fifty-four billion, eight hundred forty-seven million, four hundred seventy-two thousand, four hundred eighty".