73667784960 has 2304 divisors, whose sum is σ = 361680076800. Its totient is φ = 13735526400.

The previous prime is 73667784937. The next prime is 73667785003. The reversal of 73667784960 is 6948776637.

73667784960 is a `hidden beast` number, since 73 + 6 + 6 + 7 + 78 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1567399657 + ... + 1567399703.

It is an arithmetic number, because the mean of its divisors is an integer number (156979200).

Almost surely, 2^73667784960 is an apocalyptic number.

73667784960 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 73667784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180840038400).

73667784960 is an abundant number, since it is smaller than the sum of its proper divisors (288012291840).

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

73667784960 is a wasteful number, since it uses less digits than its factorization.

73667784960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 73667784960 in words is "seventy-three billion, six hundred sixty-seven million, seven hundred eighty-four thousand, nine hundred sixty".