7825549644 has 144 divisors (see below), whose sum is σ = 22578909920. Its totient is φ = 2371057920.

The previous prime is 7825549619. The next prime is 7825549651. The reversal of 7825549644 is 4469455287.

7825549644 is a `hidden beast` number, since 7 + 82 + 554 + 9 + 6 + 4 + 4 = 666.

It is a super-2 number, since 2×7825549644² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1054812 + ... + 1062204.

Almost surely, 2^7825549644 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 7825549644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11289454960).

7825549644 is an abundant number, since it is smaller than the sum of its proper divisors (14753360276).

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

7825549644 is a wasteful number, since it uses less digits than its factorization.

7825549644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7440 (or 7409 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The square root of 7825549644 is about 88462.1367817893. The cubic root of 7825549644 is about 1985.3555013867.

The spelling of 7825549644 in words is "seven billion, eight hundred twenty-five million, five hundred forty-nine thousand, six hundred forty-four".