73038893840 has 320 divisors, whose sum is σ = 207346728960. Its totient is φ = 23598981120.

The previous prime is 73038893831. The next prime is 73038893897. The reversal of 73038893840 is 4839883037.

It is a happy 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, 27180977 + ... + 27183663.

It is an arithmetic number, because the mean of its divisors is an integer number (647958528).

Almost surely, 2^73038893840 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 73038893840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103673364480).

73038893840 is an abundant number, since it is smaller than the sum of its proper divisors (134307835120).

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

73038893840 is a wasteful number, since it uses less digits than its factorization.

73038893840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 53.

The spelling of 73038893840 in words is "seventy-three billion, thirty-eight million, eight hundred ninety-three thousand, eight hundred forty".