7432145952 has 576 divisors, whose sum is σ = 26736998400. Its totient is φ = 1791283200.

The previous prime is 7432145951. The next prime is 7432145953. The reversal of 7432145952 is 2595412347.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7432145951) and next prime (7432145953).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (302400) is a multiple of the sum of its prime factors (150).

It is not an unprimeable number, because it can be changed into a prime (7432145951) 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 95 ways as a sum of consecutive naturals, for example, 104678077 + ... + 104678147.

It is an arithmetic number, because the mean of its divisors is an integer number (46418400).

Almost surely, 2^7432145952 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 7432145952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13368499200).

7432145952 is an abundant number, since it is smaller than the sum of its proper divisors (19304852448).

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

7432145952 is a wasteful number, since it uses less digits than its factorization.

7432145952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 111 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 7432145952 is about 86209.8947453249. The cubic root of 7432145952 is about 1951.5128257710.

The spelling of 7432145952 in words is "seven billion, four hundred thirty-two million, one hundred forty-five thousand, nine hundred fifty-two".