4045676544 has 560 divisors, whose sum is σ = 15097524288. Its totient is φ = 1051066368.

The previous prime is 4045676521. The next prime is 4045676603. The reversal of 4045676544 is 4456765404.

4045676544 is a `hidden beast` number, since 4 + 0 + 45 + 67 + 6 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4045676544.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60383199 + ... + 60383265.

Almost surely, 2^4045676544 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 4045676544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7548762144).

4045676544 is an abundant number, since it is smaller than the sum of its proper divisors (11051847744).

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

4045676544 is an equidigital number, since it uses as much as digits as its factorization.

4045676544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The square root of 4045676544 is about 63605.6329580958. The cubic root of 4045676544 is about 1593.4204471821.

The spelling of 4045676544 in words is "four billion, forty-five million, six hundred seventy-six thousand, five hundred forty-four".