1969920000 has 600 divisors, whose sum is σ = 7739631900. Its totient is φ = 497664000.

The previous prime is 1969919983. The next prime is 1969920013. The reversal of 1969920000 is 299691.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-3 number, since 3×1969920000³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 103679991 + ... + 103680009.

Almost surely, 2^1969920000 is an apocalyptic number.

1969920000 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 1969920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3869815950).

1969920000 is an abundant number, since it is smaller than the sum of its proper divisors (5769711900).

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

1969920000 is an frugal number, since it uses more digits than its factorization.

1969920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 1969920000 is about 44383.7808213766. The cubic root of 1969920000 is about 1253.5727121868.

The spelling of 1969920000 in words is "one billion, nine hundred sixty-nine million, nine hundred twenty thousand".