73873136064 has 448 divisors, whose sum is σ = 258276888576. Its totient is φ = 18080464896.

The previous prime is 73873136023. The next prime is 73873136101. The reversal of 73873136064 is 46063137837.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 21681049 + ... + 21684455.

It is an arithmetic number, because the mean of its divisors is an integer number (576510912).

Almost surely, 2^73873136064 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 73873136064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129138444288).

73873136064 is an abundant number, since it is smaller than the sum of its proper divisors (184403752512).

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

73873136064 is a wasteful number, since it uses less digits than its factorization.

73873136064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3532 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 48.

The spelling of 73873136064 in words is "seventy-three billion, eight hundred seventy-three million, one hundred thirty-six thousand, sixty-four".