73746801722880 has 960 divisors, whose sum is σ = 300314294280000. Its totient is φ = 16488647884800.

The previous prime is 73746801722879. The next prime is 73746801722899. The reversal of 73746801722880 is 8822710864737.

It is a happy number.

73746801722880 is a `hidden beast` number, since 7 + 3 + 7 + 468 + 0 + 1 + 72 + 28 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4115096320 + ... + 4115114240.

It is an arithmetic number, because the mean of its divisors is an integer number (312827389875).

Almost surely, 2^{73746801722880} 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 73746801722880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150157147140000).

73746801722880 is an abundant number, since it is smaller than the sum of its proper divisors (226567492557120).

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

73746801722880 is a wasteful number, since it uses less digits than its factorization.

73746801722880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19223 (or 19204 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 73746801722880 in words is "seventy-three trillion, seven hundred forty-six billion, eight hundred one million, seven hundred twenty-two thousand, eight hundred eighty".