73504944240 has 640 divisors, whose sum is σ = 287213617152. Its totient is φ = 15139491840.

The previous prime is 73504944239. The next prime is 73504944257. The reversal of 73504944240 is 4244940537.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 73504944192 and 73504944201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 279486349 + ... + 279486611.

Almost surely, 2^73504944240 is an apocalyptic number.

73504944240 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 73504944240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143606808576).

73504944240 is an abundant number, since it is smaller than the sum of its proper divisors (213708672912).

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

73504944240 is a wasteful number, since it uses less digits than its factorization.

73504944240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 73504944240 in words is "seventy-three billion, five hundred four million, nine hundred forty-four thousand, two hundred forty".