4725635192784 has 480 divisors, whose sum is σ = 15553076467968. Its totient is φ = 1334594764800.

The previous prime is 4725635192779. The next prime is 4725635192809. The reversal of 4725635192784 is 4872915365274.

It is a happy number.

4725635192784 is a `hidden beast` number, since 4 + 7 + 2 + 5 + 6 + 351 + 9 + 278 + 4 = 666.

It is a congruent number.

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, 335596624 + ... + 335610704.

Almost surely, 2^{4725635192784} is an apocalyptic number.

4725635192784 is a gapful number since it is divisible by the number (44) 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 4725635192784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7776538233984).

4725635192784 is an abundant number, since it is smaller than the sum of its proper divisors (10827441275184).

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

4725635192784 is a wasteful number, since it uses less digits than its factorization.

4725635192784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14248 (or 14217 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 4725635192784 in words is "four trillion, seven hundred twenty-five billion, six hundred thirty-five million, one hundred ninety-two thousand, seven hundred eighty-four".