1641516624 has 240 divisors, whose sum is σ = 5381530560. Its totient is φ = 475073280.

The previous prime is 1641516599. The next prime is 1641516637. The reversal of 1641516624 is 4266151461.

1641516624 is a `hidden beast` number, since 1 + 6 + 4 + 15 + 16 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2513482 + ... + 2514134.

It is an arithmetic number, because the mean of its divisors is an integer number (22423044).

Almost surely, 2^1641516624 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 1641516624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690765280).

1641516624 is an abundant number, since it is smaller than the sum of its proper divisors (3740013936).

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

1641516624 is a wasteful number, since it uses less digits than its factorization.

1641516624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 692 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 1641516624 is about 40515.6343156565. The cubic root of 1641516624 is about 1179.6371152642.

The spelling of 1641516624 in words is "one billion, six hundred forty-one million, five hundred sixteen thousand, six hundred twenty-four".