726889464000 has 1120 divisors, whose sum is σ = 3093030420480. Its totient is φ = 165079296000.

The previous prime is 726889463939. The next prime is 726889464001. The reversal of 726889464000 is 464988627.

726889464000 is a `hidden beast` number, since 72 + 6 + 88 + 94 + 6 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (726889464001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 866375581 + ... + 866376419.

It is an arithmetic number, because the mean of its divisors is an integer number (2761634304).

Almost surely, 2^726889464000 is an apocalyptic number.

726889464000 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 726889464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546515210240).

726889464000 is an abundant number, since it is smaller than the sum of its proper divisors (2366140956480).

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

726889464000 is a wasteful number, since it uses less digits than its factorization.

726889464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 726889464000 in words is "seven hundred twenty-six billion, eight hundred eighty-nine million, four hundred sixty-four thousand".