1628119793664 has 1536 divisors, whose sum is σ = 6351085977600. Its totient is φ = 389850071040.

The previous prime is 1628119793653. The next prime is 1628119793687. The reversal of 1628119793664 is 4663979118261.

1628119793664 is a `hidden beast` number, since 1 + 6 + 2 + 81 + 197 + 9 + 366 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-3 number, since 3×1628119793664³ (a number of 38 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15806988237 + ... + 15806988339.

It is an arithmetic number, because the mean of its divisors is an integer number (4134821600).

Almost surely, 2^{1628119793664} is an apocalyptic number.

1628119793664 is a gapful number since it is divisible by the number (14) 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 1628119793664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175542988800).

1628119793664 is an abundant number, since it is smaller than the sum of its proper divisors (4722966183936).

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

1628119793664 is a wasteful number, since it uses less digits than its factorization.

1628119793664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 178 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 1628119793664 in words is "one trillion, six hundred twenty-eight billion, one hundred nineteen million, seven hundred ninety-three thousand, six hundred sixty-four".