7463413440 has 1008 divisors, whose sum is σ = 33068910240. Its totient is φ = 1579253760.

The previous prime is 7463413439. The next prime is 7463413459. The reversal of 7463413440 is 443143647.

7463413440 is a `hidden beast` number, since 7 + 4 + 634 + 13 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 = 7463413395 and 7463413404.

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 143 ways as a sum of consecutive naturals, for example, 122351010 + ... + 122351070.

Almost surely, 2^7463413440 is an apocalyptic number.

7463413440 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 7463413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16534455120).

7463413440 is an abundant number, since it is smaller than the sum of its proper divisors (25605496800).

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

7463413440 is a wasteful number, since it uses less digits than its factorization.

7463413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 7463413440 is about 86391.0495363958. The cubic root of 7463413440 is about 1954.2457077507.

It can be divided in two parts, 7463 and 413440, that added together give a triangular number (420903 = T₉₁₇).

The spelling of 7463413440 in words is "seven billion, four hundred sixty-three million, four hundred thirteen thousand, four hundred forty".