1916372736 has 288 divisors, whose sum is σ = 6145735680. Its totient is φ = 586727424.

The previous prime is 1916372729. The next prime is 1916372789. The reversal of 1916372736 is 6372736191.

1916372736 is a `hidden beast` number, since 1 + 9 + 1 + 637 + 2 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 1916372691 and 1916372700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5522515 + ... + 5522861.

It is an arithmetic number, because the mean of its divisors is an integer number (21339360).

Almost surely, 2^1916372736 is an apocalyptic number.

1916372736 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 1916372736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072867840).

1916372736 is an abundant number, since it is smaller than the sum of its proper divisors (4229362944).

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

1916372736 is a wasteful number, since it uses less digits than its factorization.

1916372736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 416 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 1916372736 is about 43776.3947350624. The cubic root of 1916372736 is about 1242.1098178235.

The spelling of 1916372736 in words is "one billion, nine hundred sixteen million, three hundred seventy-two thousand, seven hundred thirty-six".