73315473140 has 192 divisors, whose sum is σ = 192041891328. Its totient is φ = 22892544000.

The previous prime is 73315473107. The next prime is 73315473149. The reversal of 73315473140 is 4137451337.

It is a super-2 number, since 2×73315473140² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 73315473094 and 73315473103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73315473149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106100195 + ... + 106100885.

It is an arithmetic number, because the mean of its divisors is an integer number (1000218184).

Almost surely, 2^73315473140 is an apocalyptic number.

73315473140 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73315473140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96020945664).

73315473140 is an abundant number, since it is smaller than the sum of its proper divisors (118726418188).

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

73315473140 is a wasteful number, since it uses less digits than its factorization.

73315473140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 38.

The spelling of 73315473140 in words is "seventy-three billion, three hundred fifteen million, four hundred seventy-three thousand, one hundred forty".