726176304480 has 768 divisors, whose sum is σ = 2641998643200. Its totient is φ = 166053888000.

The previous prime is 726176304473. The next prime is 726176304487. The reversal of 726176304480 is 84403671627.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (726176304473) and next prime (726176304487).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726176304487) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1150833765 + ... + 1150834395.

It is an arithmetic number, because the mean of its divisors is an integer number (3440102400).

Almost surely, 2^726176304480 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 726176304480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320999321600).

726176304480 is an abundant number, since it is smaller than the sum of its proper divisors (1915822338720).

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

726176304480 is a wasteful number, since it uses less digits than its factorization.

726176304480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 726176304480 in words is "seven hundred twenty-six billion, one hundred seventy-six million, three hundred four thousand, four hundred eighty".