726632242560 has 2304 divisors, whose sum is σ = 3325421952000. Its totient is φ = 149030461440.

The previous prime is 726632242549. The next prime is 726632242561. The reversal of 726632242560 is 65242236627.

726632242560 is a `hidden beast` number, since 7 + 2 + 6 + 63 + 2 + 24 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726632242561) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15460260457 + ... + 15460260503.

It is an arithmetic number, because the mean of its divisors is an integer number (1443325500).

Almost surely, 2^726632242560 is an apocalyptic number.

726632242560 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 726632242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662710976000).

726632242560 is an abundant number, since it is smaller than the sum of its proper divisors (2598789709440).

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

726632242560 is a wasteful number, since it uses less digits than its factorization.

726632242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 726632242560 in words is "seven hundred twenty-six billion, six hundred thirty-two million, two hundred forty-two thousand, five hundred sixty".