73987927104 has 336 divisors, whose sum is σ = 248626871808. Its totient is φ = 19243671552.

The previous prime is 73987927103. The next prime is 73987927109. The reversal of 73987927104 is 40172978937.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (73987927103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8924049 + ... + 8932335.

It is an arithmetic number, because the mean of its divisors is an integer number (739960928).

Almost surely, 2^73987927104 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 73987927104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124313435904).

73987927104 is an abundant number, since it is smaller than the sum of its proper divisors (174638944704).

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

73987927104 is a wasteful number, since it uses less digits than its factorization.

73987927104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8402 (or 8385 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 57.

The spelling of 73987927104 in words is "seventy-three billion, nine hundred eighty-seven million, nine hundred twenty-seven thousand, one hundred four".