7613892864 has 288 divisors, whose sum is σ = 23467409280. Its totient is φ = 2433024000.

The previous prime is 7613892863. The next prime is 7613893093. The reversal of 7613892864 is 4682983167.

It is a tau number, because it is divible by the number of its divisors (288).

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 7613892864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7613892863) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 18987064 + ... + 18987464.

It is an arithmetic number, because the mean of its divisors is an integer number (81484060).

Almost surely, 2^7613892864 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 7613892864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11733704640).

7613892864 is an abundant number, since it is smaller than the sum of its proper divisors (15853516416).

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

7613892864 is a wasteful number, since it uses less digits than its factorization.

7613892864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 514 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 7613892864 is about 87257.6235294086. The cubic root of 7613892864 is about 1967.2924285583.

The spelling of 7613892864 in words is "seven billion, six hundred thirteen million, eight hundred ninety-two thousand, eight hundred sixty-four".