731362020480 has 2304 divisors, whose sum is σ = 3447236880000. Its totient is φ = 145644355584.

The previous prime is 731362020449. The next prime is 731362020503. The reversal of 731362020480 is 84020263137.

It is a happy number.

731362020480 is a `hidden beast` number, since 7 + 3 + 1 + 3 + 620 + 20 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2718817786 + ... + 2718818054.

Almost surely, 2^731362020480 is an apocalyptic number.

731362020480 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 731362020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723618440000).

731362020480 is an abundant number, since it is smaller than the sum of its proper divisors (2715874859520).

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

731362020480 is a wasteful number, since it uses less digits than its factorization.

731362020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 731362020480 in words is "seven hundred thirty-one billion, three hundred sixty-two million, twenty thousand, four hundred eighty".