1968477480 has 48 divisors (see below), whose sum is σ = 6397552980. Its totient is φ = 524927232.

The previous prime is 1968477479. The next prime is 1968477541. The reversal of 1968477480 is 847748691.

It is a happy number.

1968477480 is a `hidden beast` number, since 1 + 96 + 8 + 4 + 77 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1699583076 + 268894404 = 41226^2 + 16398^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2733637 + ... + 2734356.

Almost surely, 2^1968477480 is an apocalyptic number.

1968477480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1968477480 is an abundant number, since it is smaller than the sum of its proper divisors (4429075500).

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

1968477480 is a wasteful number, since it uses less digits than its factorization.

1968477480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5468010 (or 5468003 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 1968477480 is about 44367.5273144673. The cubic root of 1968477480 is about 1253.2666514873.

The spelling of 1968477480 in words is "one billion, nine hundred sixty-eight million, four hundred seventy-seven thousand, four hundred eighty".