1900504615680 has 2304 divisors, whose sum is σ = 8236698624000. Its totient is φ = 409677004800.

The previous prime is 1900504615673. The next prime is 1900504615721. The reversal of 1900504615680 is 865164050091.

1900504615680 is a `hidden beast` number, since 1 + 9 + 0 + 0 + 504 + 61 + 5 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×1900504615680² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9007130775 + ... + 9007130985.

It is an arithmetic number, because the mean of its divisors is an integer number (3574956000).

Almost surely, 2^{1900504615680} is an apocalyptic number.

1900504615680 is a gapful number since it is divisible by the number (10) 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 1900504615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118349312000).

1900504615680 is an abundant number, since it is smaller than the sum of its proper divisors (6336194008320).

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

1900504615680 is a wasteful number, since it uses less digits than its factorization.

1900504615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 1900504615680 in words is "one trillion, nine hundred billion, five hundred four million, six hundred fifteen thousand, six hundred eighty".