5852618640 has 720 divisors, whose sum is σ = 23879007360. Its totient is φ = 1271255040.

The previous prime is 5852618627. The next prime is 5852618701. The reversal of 5852618640 is 468162585.

5852618640 is a `hidden beast` number, since 5 + 8 + 526 + 1 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65759716 + ... + 65759804.

It is an arithmetic number, because the mean of its divisors is an integer number (33165288).

Almost surely, 2^5852618640 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 5852618640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11939503680).

5852618640 is an abundant number, since it is smaller than the sum of its proper divisors (18026388720).

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

5852618640 is a wasteful number, since it uses less digits than its factorization.

5852618640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 5852618640 is about 76502.4093738230. The cubic root of 5852618640 is about 1802.1187643017.

The spelling of 5852618640 in words is "five billion, eight hundred fifty-two million, six hundred eighteen thousand, six hundred forty".