7463253504 has 480 divisors, whose sum is σ = 25862094720. Its totient is φ = 1895104512.

The previous prime is 7463253491. The next prime is 7463253517. The reversal of 7463253504 is 4053523647.

It is an interprime number because it is at equal distance from previous prime (7463253491) and next prime (7463253517).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24310119 + ... + 24310425.

It is an arithmetic number, because the mean of its divisors is an integer number (53879364).

Almost surely, 2^7463253504 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 7463253504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12931047360).

7463253504 is an abundant number, since it is smaller than the sum of its proper divisors (18398841216).

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

7463253504 is a wasteful number, since it uses less digits than its factorization.

7463253504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 39.

The square root of 7463253504 is about 86390.1238799899. The cubic root of 7463253504 is about 1954.2317482545.

The spelling of 7463253504 in words is "seven billion, four hundred sixty-three million, two hundred fifty-three thousand, five hundred four".