7413536088 has 384 divisors, whose sum is σ = 24908083200. Its totient is φ = 1946343168.

The previous prime is 7413536087. The next prime is 7413536089. The reversal of 7413536088 is 8806353147.

7413536088 is a `hidden beast` number, since 7 + 4 + 1 + 35 + 3 + 608 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (7413536087) and next prime (7413536089).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7413536087) 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, 53334723 + ... + 53334861.

It is an arithmetic number, because the mean of its divisors is an integer number (64864800).

Almost surely, 2^7413536088 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 7413536088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12454041600).

7413536088 is an abundant number, since it is smaller than the sum of its proper divisors (17494547112).

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

7413536088 is a wasteful number, since it uses less digits than its factorization.

7413536088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 7413536088 is about 86101.8936377128. The cubic root of 7413536088 is about 1949.8826217315.

The spelling of 7413536088 in words is "seven billion, four hundred thirteen million, five hundred thirty-six thousand, eighty-eight".