7463651440 has 160 divisors (see below), whose sum is σ = 22104299520. Its totient is φ = 2281623552.

The previous prime is 7463651431. The next prime is 7463651471. The reversal of 7463651440 is 441563647.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 7463651393 and 7463651402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160249 + ... + 201511.

It is an arithmetic number, because the mean of its divisors is an integer number (138151872).

Almost surely, 2^7463651440 is an apocalyptic number.

7463651440 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 7463651440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11052149760).

7463651440 is an abundant number, since it is smaller than the sum of its proper divisors (14640648080).

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

7463651440 is a wasteful number, since it uses less digits than its factorization.

7463651440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41319 (or 41313 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 7463651440 is about 86392.4269829248. The cubic root of 7463651440 is about 1954.2664804413.

The spelling of 7463651440 in words is "seven billion, four hundred sixty-three million, six hundred fifty-one thousand, four hundred forty".