7468385652 has 240 divisors, whose sum is σ = 24125812480. Its totient is φ = 1961791488.

The previous prime is 7468385647. The next prime is 7468385653. The reversal of 7468385652 is 2565838647.

7468385652 is a `hidden beast` number, since 7 + 46 + 8 + 38 + 565 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7468385653) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 12943188 + ... + 12943764.

Almost surely, 2^7468385652 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 7468385652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12062906240).

7468385652 is an abundant number, since it is smaller than the sum of its proper divisors (16657426828).

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

7468385652 is a wasteful number, since it uses less digits than its factorization.

7468385652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1041 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The square root of 7468385652 is about 86419.8221011823. The cubic root of 7468385652 is about 1954.6795917455.

The spelling of 7468385652 in words is "seven billion, four hundred sixty-eight million, three hundred eighty-five thousand, six hundred fifty-two".