73897661760 has 448 divisors, whose sum is σ = 270984268800. Its totient is φ = 16899637248.

The previous prime is 73897661753. The next prime is 73897661807. The reversal of 73897661760 is 6716679837.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 73897661694 and 73897661703.

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, 16758436 + ... + 16762844.

It is an arithmetic number, because the mean of its divisors is an integer number (604875600).

Almost surely, 2^73897661760 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 73897661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135492134400).

73897661760 is an abundant number, since it is smaller than the sum of its proper divisors (197086607040).

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

73897661760 is a wasteful number, since it uses less digits than its factorization.

73897661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4538 (or 4528 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 60.

The spelling of 73897661760 in words is "seventy-three billion, eight hundred ninety-seven million, six hundred sixty-one thousand, seven hundred sixty".