1975986720 has 144 divisors (see below), whose sum is σ = 6763236480. Its totient is φ = 525353472.

The previous prime is 1975986679. The next prime is 1975986731. The reversal of 1975986720 is 276895791.

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

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, 526611 + ... + 530349.

It is an arithmetic number, because the mean of its divisors is an integer number (46966920).

Almost surely, 2^1975986720 is an apocalyptic number.

1975986720 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 1975986720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381618240).

1975986720 is an abundant number, since it is smaller than the sum of its proper divisors (4787249760).

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

1975986720 is a wasteful number, since it uses less digits than its factorization.

1975986720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4127 (or 4116 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 1975986720 is about 44452.0721676729. The cubic root of 1975986720 is about 1254.8582603162.

The spelling of 1975986720 in words is "one billion, nine hundred seventy-five million, nine hundred eighty-six thousand, seven hundred twenty".