73761684480 has 1760 divisors, whose sum is σ = 325282383360. Its totient is φ = 15765995520.

The previous prime is 73761684467. The next prime is 73761684481. The reversal of 73761684480 is 8448616737.

73761684480 is a `hidden beast` number, since 7 + 3 + 76 + 16 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73761684481) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1993559022 + ... + 1993559058.

It is an arithmetic number, because the mean of its divisors is an integer number (184819536).

Almost surely, 2^73761684480 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 73761684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162641191680).

73761684480 is an abundant number, since it is smaller than the sum of its proper divisors (251520698880).

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

73761684480 is a wasteful number, since it uses less digits than its factorization.

73761684480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 73761684480 in words is "seventy-three billion, seven hundred sixty-one million, six hundred eighty-four thousand, four hundred eighty".