7545646368 has 240 divisors, whose sum is σ = 24073068096. Its totient is φ = 2304806400.

The previous prime is 7545646351. The next prime is 7545646397. The reversal of 7545646368 is 8636465457.

7545646368 is a `hidden beast` number, since 7 + 545 + 64 + 6 + 36 + 8 = 666.

It is a super-2 number, since 2×7545646368² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5087355 + ... + 5088837.

Almost surely, 2^7545646368 is an apocalyptic number.

7545646368 is a gapful number since it is divisible by the number (78) 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 7545646368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12036534048).

7545646368 is an abundant number, since it is smaller than the sum of its proper divisors (16527421728).

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

7545646368 is a wasteful number, since it uses less digits than its factorization.

7545646368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1652 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The square root of 7545646368 is about 86865.6800353281. The cubic root of 7545646368 is about 1961.3968911912.

The spelling of 7545646368 in words is "seven billion, five hundred forty-five million, six hundred forty-six thousand, three hundred sixty-eight".