726507472201420 has 192 divisors, whose sum is σ = 1882507299353856. Its totient is φ = 229344889466880.

The previous prime is 726507472201397. The next prime is 726507472201429. The reversal of 726507472201420 is 24102274705627.

It is a super-3 number, since 3×726507472201420³ (a number of 46 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (726507472201429) 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, 1184588050 + ... + 1185201190.

It is an arithmetic number, because the mean of its divisors is an integer number (9804725517468).

Almost surely, 2^{726507472201420} is an apocalyptic number.

726507472201420 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 726507472201420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941253649676928).

726507472201420 is an abundant number, since it is smaller than the sum of its proper divisors (1155999827152436).

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

726507472201420 is a wasteful number, since it uses less digits than its factorization.

726507472201420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614820 (or 614818 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 49.

The spelling of 726507472201420 in words is "seven hundred twenty-six trillion, five hundred seven billion, four hundred seventy-two million, two hundred one thousand, four hundred twenty".