1629153242640 has 1440 divisors, whose sum is σ = 7442286448896. Its totient is φ = 314991452160.

The previous prime is 1629153242621. The next prime is 1629153242657. The reversal of 1629153242640 is 462423519261.

1629153242640 is a `hidden beast` number, since 1 + 6 + 2 + 91 + 532 + 4 + 26 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 330253614 + ... + 330258546.

Almost surely, 2^{1629153242640} is an apocalyptic number.

1629153242640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1629153242640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3721143224448).

1629153242640 is an abundant number, since it is smaller than the sum of its proper divisors (5813133206256).

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

1629153242640 is a wasteful number, since it uses less digits than its factorization.

1629153242640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5037 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1629153242640 in words is "one trillion, six hundred twenty-nine billion, one hundred fifty-three million, two hundred forty-two thousand, six hundred forty".