726480100110100 has 144 divisors (see below), whose sum is σ = 1802256109226496. Its totient is φ = 248997967920000.

The previous prime is 726480100110031. The next prime is 726480100110109. The reversal of 726480100110100 is 1011001084627.

726480100110100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726480100110109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49885325419 + ... + 49885339981.

It is an arithmetic number, because the mean of its divisors is an integer number (12515667425184).

Almost surely, 2^{726480100110100} is an apocalyptic number.

726480100110100 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

726480100110100 is an abundant number, since it is smaller than the sum of its proper divisors (1075776009116396).

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

726480100110100 is a wasteful number, since it uses less digits than its factorization.

726480100110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32846 (or 32839 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 31.

Adding to 726480100110100 its reverse (1011001084627), we get a palindrome (727491101194727).

The spelling of 726480100110100 in words is "seven hundred twenty-six trillion, four hundred eighty billion, one hundred million, one hundred ten thousand, one hundred".