1620000499968 has 216 divisors, whose sum is σ = 4792916209536. Its totient is φ = 525998592000.

The previous prime is 1620000499967. The next prime is 1620000499993. The reversal of 1620000499968 is 8699940000261.

1620000499968 is a `hidden beast` number, since 1 + 62 + 0 + 0 + 0 + 0 + 499 + 96 + 8 = 666.

It is a super-3 number, since 3×1620000499968³ (a number of 38 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1620000499967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22813318 + ... + 22884218.

It is an arithmetic number, because the mean of its divisors is an integer number (22189426896).

Almost surely, 2^{1620000499968} is an apocalyptic number.

1620000499968 is a gapful number since it is divisible by the number (18) 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 1620000499968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396458104768).

1620000499968 is an abundant number, since it is smaller than the sum of its proper divisors (3172915709568).

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

1620000499968 is a wasteful number, since it uses less digits than its factorization.

1620000499968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71181 (or 71164 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 1620000499968 in words is "one trillion, six hundred twenty billion, four hundred ninety-nine thousand, nine hundred sixty-eight".