73775214000 has 960 divisors, whose sum is σ = 288971504640. Its totient is φ = 17456947200.

The previous prime is 73775213989. The next prime is 73775214001. The reversal of 73775214000 is 41257737.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (73775214001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 652877944 + ... + 652878056.

It is an arithmetic number, because the mean of its divisors is an integer number (301011984).

Almost surely, 2^73775214000 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 73775214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144485752320).

73775214000 is an abundant number, since it is smaller than the sum of its proper divisors (215196290640).

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

73775214000 is a wasteful number, since it uses less digits than its factorization.

73775214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The spelling of 73775214000 in words is "seventy-three billion, seven hundred seventy-five million, two hundred fourteen thousand".