7262821440 has 672 divisors, whose sum is σ = 30608747520. Its totient is φ = 1543753728.

The previous prime is 7262821439. The next prime is 7262821457. The reversal of 7262821440 is 441282627.

7262821440 is a `hidden beast` number, since 7 + 2 + 628 + 21 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 7262821395 and 7262821404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25663539 + ... + 25663821.

Almost surely, 2^7262821440 is an apocalyptic number.

7262821440 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 7262821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15304373760).

7262821440 is an abundant number, since it is smaller than the sum of its proper divisors (23345926080).

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

7262821440 is a wasteful number, since it uses less digits than its factorization.

7262821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 7262821440 is about 85222.1886599963. The cubic root of 7262821440 is about 1936.5785728361.

The spelling of 7262821440 in words is "seven billion, two hundred sixty-two million, eight hundred twenty-one thousand, four hundred forty".