726485760000 has 3600 divisors, whose sum is σ = 3705735753720. Its totient is φ = 139345920000.

The previous prime is 726485759981. The next prime is 726485760029. The reversal of 726485760000 is 67584627.

726485760000 is a `hidden beast` number, since 72 + 6 + 4 + 8 + 576 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 55883519994 + ... + 55883520006.

Almost surely, 2^726485760000 is an apocalyptic number.

726485760000 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 726485760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852867876860).

726485760000 is an abundant number, since it is smaller than the sum of its proper divisors (2979249993720).

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

726485760000 is a wasteful number, since it uses less digits than its factorization.

726485760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 726485760000 in words is "seven hundred twenty-six billion, four hundred eighty-five million, seven hundred sixty thousand".