73640465280 has 1024 divisors, whose sum is σ = 289529856000. Its totient is φ = 17627258880.

The previous prime is 73640465279. The next prime is 73640465293. The reversal of 73640465280 is 8256404637.

73640465280 is a `hidden beast` number, since 7 + 364 + 0 + 4 + 6 + 5 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 529787451 + ... + 529787589.

It is an arithmetic number, because the mean of its divisors is an integer number (282744000).

Almost surely, 2^73640465280 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 73640465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144764928000).

73640465280 is an abundant number, since it is smaller than the sum of its proper divisors (215889390720).

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

73640465280 is a wasteful number, since it uses less digits than its factorization.

73640465280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 73640465280 in words is "seventy-three billion, six hundred forty million, four hundred sixty-five thousand, two hundred eighty".