7262641440 has 240 divisors, whose sum is σ = 25809953400. Its totient is φ = 1923194880.

The previous prime is 7262641439. The next prime is 7262641469. The reversal of 7262641440 is 441462627.

7262641440 is a `hidden beast` number, since 7 + 2 + 6 + 2 + 641 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4185054864 + 3077586576 = 64692^2 + 55476^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7262641395 and 7262641404.

It is a congruent number.

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, 1929160 + ... + 1932920.

Almost surely, 2^7262641440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7262641440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12904976700).

7262641440 is an abundant number, since it is smaller than the sum of its proper divisors (18547311960).

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

7262641440 is a wasteful number, since it uses less digits than its factorization.

7262641440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3937 (or 3920 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 7262641440 is about 85221.1325904555. The cubic root of 7262641440 is about 1936.5625741399.

The spelling of 7262641440 in words is "seven billion, two hundred sixty-two million, six hundred forty-one thousand, four hundred forty".