910728080640 has 324 divisors, whose sum is σ = 3665479508964. Its totient is φ = 208166289408.

The previous prime is 910728080621. The next prime is 910728080641. The reversal of 910728080640 is 46080827019.

It can be written as a sum of positive squares in 2 ways, for example, as 113121904896 + 797606175744 = 336336^2 + 893088^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (910728080641) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 242217 + ... + 1371176.

It is an arithmetic number, because the mean of its divisors is an integer number (11313208361).

Almost surely, 2^910728080640 is an apocalyptic number.

910728080640 is a gapful number since it is divisible by the number (90) 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 910728080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832739754482).

910728080640 is an abundant number, since it is smaller than the sum of its proper divisors (2754751428324).

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

910728080640 is a wasteful number, since it uses less digits than its factorization.

910728080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613434 (or 1613410 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 910728080640 in words is "nine hundred ten billion, seven hundred twenty-eight million, eighty thousand, six hundred forty".