1628467461504 has 384 divisors, whose sum is σ = 5085561761280. Its totient is φ = 497211125760.

The previous prime is 1628467461479. The next prime is 1628467461527. The reversal of 1628467461504 is 4051647648261.

1628467461504 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 4 + 6 + 74 + 61 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1245957619 + ... + 1245958925.

It is an arithmetic number, because the mean of its divisors is an integer number (13243650420).

Almost surely, 2^{1628467461504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1628467461504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542780880640).

1628467461504 is an abundant number, since it is smaller than the sum of its proper divisors (3457094299776).

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

1628467461504 is a wasteful number, since it uses less digits than its factorization.

1628467461504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 1628467461504 in words is "one trillion, six hundred twenty-eight billion, four hundred sixty-seven million, four hundred sixty-one thousand, five hundred four".