1628581622976 has 1344 divisors, whose sum is σ = 6235778841600. Its totient is φ = 407726161920.

The previous prime is 1628581622957. The next prime is 1628581623023. The reversal of 1628581622976 is 6792261858261.

1628581622976 is a `hidden beast` number, since 1 + 6 + 28 + 581 + 6 + 2 + 29 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×1628581622976² (a number of 25 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 7111710030 + ... + 7111710258.

It is an arithmetic number, because the mean of its divisors is an integer number (4639716400).

Almost surely, 2^{1628581622976} is an apocalyptic number.

1628581622976 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 1628581622976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3117889420800).

1628581622976 is an abundant number, since it is smaller than the sum of its proper divisors (4607197218624).

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

1628581622976 is a wasteful number, since it uses less digits than its factorization.

1628581622976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 408 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 1628581622976 in words is "one trillion, six hundred twenty-eight billion, five hundred eighty-one million, six hundred twenty-two thousand, nine hundred seventy-six".