726848640 has 320 divisors, whose sum is σ = 2968004160. Its totient is φ = 166053888.

The previous prime is 726848627. The next prime is 726848659. The reversal of 726848640 is 46848627.

726848640 is a `hidden beast` number, since 72 + 68 + 486 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 361879 + ... + 363881.

It is an arithmetic number, because the mean of its divisors is an integer number (9275013).

Almost surely, 2^726848640 is an apocalyptic number.

726848640 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 726848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484002080).

726848640 is an abundant number, since it is smaller than the sum of its proper divisors (2241155520).

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

726848640 is a wasteful number, since it uses less digits than its factorization.

726848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 726848640 is about 26960.1305634821. The cubic root of 726848640 is about 899.1137943303.

The spelling of 726848640 in words is "seven hundred twenty-six million, eight hundred forty-eight thousand, six hundred forty".