1900704672 has 144 divisors (see below), whose sum is σ = 5710068000. Its totient is φ = 598067712.

The previous prime is 1900704667. The next prime is 1900704683. The reversal of 1900704672 is 2764070091.

It is a happy number.

1900704672 is a `hidden beast` number, since 190 + 0 + 7 + 0 + 467 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1900704672² = 7225356500325255168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2292354 + ... + 2293182.

It is an arithmetic number, because the mean of its divisors is an integer number (39653250).

Almost surely, 2^1900704672 is an apocalyptic number.

1900704672 is a gapful number since it is divisible by the number (12) 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 1900704672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855034000).

1900704672 is an abundant number, since it is smaller than the sum of its proper divisors (3809363328).

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

1900704672 is a wasteful number, since it uses less digits than its factorization.

1900704672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1900704672 is about 43597.0718282776. The cubic root of 1900704672 is about 1238.7154300367.

The spelling of 1900704672 in words is "one billion, nine hundred million, seven hundred four thousand, six hundred seventy-two".