7549146864 has 240 divisors, whose sum is σ = 25292047872. Its totient is φ = 2135165184.

The previous prime is 7549146863. The next prime is 7549146881. The reversal of 7549146864 is 4686419457.

7549146864 is a `hidden beast` number, since 7 + 549 + 14 + 6 + 86 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7549146864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7549146863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2801902 + ... + 2804594.

Almost surely, 2^7549146864 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 7549146864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12646023936).

7549146864 is an abundant number, since it is smaller than the sum of its proper divisors (17742901008).

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

7549146864 is a wasteful number, since it uses less digits than its factorization.

7549146864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2808 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 7549146864 is about 86885.8266001999. The cubic root of 7549146864 is about 1961.7001477623.

The spelling of 7549146864 in words is "seven billion, five hundred forty-nine million, one hundred forty-six thousand, eight hundred sixty-four".