7362025632 has 384 divisors, whose sum is σ = 24004512000. Its totient is φ = 2180984832.

The previous prime is 7362025613. The next prime is 7362025651. The reversal of 7362025632 is 2365202637.

It is a happy number.

7362025632 is a `hidden beast` number, since 7 + 3 + 620 + 25 + 6 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (7362025613) and next prime (7362025651).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 49409494 + ... + 49409642.

It is an arithmetic number, because the mean of its divisors is an integer number (62511750).

Almost surely, 2^7362025632 is an apocalyptic number.

7362025632 is a gapful number since it is divisible by the number (72) 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 7362025632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12002256000).

7362025632 is an abundant number, since it is smaller than the sum of its proper divisors (16642486368).

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

7362025632 is a wasteful number, since it uses less digits than its factorization.

7362025632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 7362025632 is about 85802.2472432978. The cubic root of 7362025632 is about 1945.3560877944.

The spelling of 7362025632 in words is "seven billion, three hundred sixty-two million, twenty-five thousand, six hundred thirty-two".