1620833350656 has 352 divisors, whose sum is σ = 4708649709568. Its totient is φ = 492727173120.

The previous prime is 1620833350603. The next prime is 1620833350663. The reversal of 1620833350656 is 6560533380261.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1587495426 + ... + 1587496446.

Almost surely, 2^{1620833350656} is an apocalyptic number.

1620833350656 is a gapful number since it is divisible by the number (16) 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 1620833350656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354324854784).

1620833350656 is an abundant number, since it is smaller than the sum of its proper divisors (3087816358912).

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

1620833350656 is a wasteful number, since it uses less digits than its factorization.

1620833350656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 48.

The spelling of 1620833350656 in words is "one trillion, six hundred twenty billion, eight hundred thirty-three million, three hundred fifty thousand, six hundred fifty-six".