73578360960 has 512 divisors, whose sum is σ = 297158803200. Its totient is φ = 17045323776.

The previous prime is 73578360883. The next prime is 73578360997. The reversal of 73578360960 is 6906387537.

73578360960 is a `hidden beast` number, since 7 + 3 + 578 + 3 + 6 + 0 + 9 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 73578360897 and 73578360906.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3809247 + ... + 3828513.

Almost surely, 2^73578360960 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 73578360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148579401600).

73578360960 is an abundant number, since it is smaller than the sum of its proper divisors (223580442240).

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

73578360960 is a wasteful number, since it uses less digits than its factorization.

73578360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19325 (or 19307 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 73578360960 in words is "seventy-three billion, five hundred seventy-eight million, three hundred sixty thousand, nine hundred sixty".