1629496249920 has 1792 divisors, whose sum is σ = 7554904473600. Its totient is φ = 320575242240.

The previous prime is 1629496249841. The next prime is 1629496249933. The reversal of 1629496249920 is 299426949261.

1629496249920 is a `hidden beast` number, since 1 + 6 + 29 + 49 + 62 + 499 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1667856472 + ... + 1667857448.

Almost surely, 2^{1629496249920} is an apocalyptic number.

1629496249920 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 1629496249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3777452236800).

1629496249920 is an abundant number, since it is smaller than the sum of its proper divisors (5925408223680).

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

1629496249920 is a wasteful number, since it uses less digits than its factorization.

1629496249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 1629496249920 in words is "one trillion, six hundred twenty-nine billion, four hundred ninety-six million, two hundred forty-nine thousand, nine hundred twenty".