73738736640 has 352 divisors, whose sum is σ = 265680293760. Its totient is φ = 19391643648.

The previous prime is 73738736609. The next prime is 73738736647. The reversal of 73738736640 is 4663783737.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73738736647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10087867 + ... + 10095173.

Almost surely, 2^73738736640 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 73738736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132840146880).

73738736640 is an abundant number, since it is smaller than the sum of its proper divisors (191941557120).

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

73738736640 is a wasteful number, since it uses less digits than its factorization.

73738736640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7414 (or 7390 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 73738736640 in words is "seventy-three billion, seven hundred thirty-eight million, seven hundred thirty-six thousand, six hundred forty".