1967978880 has 192 divisors, whose sum is σ = 7766647200. Its totient is φ = 449814528.

The previous prime is 1967978869. The next prime is 1967978891. The reversal of 1967978880 is 888797691.

It is an interprime number because it is at equal distance from previous prime (1967978869) and next prime (1967978891).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 15916 + ... + 64724.

Almost surely, 2^1967978880 is an apocalyptic number.

1967978880 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 1967978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3883323600).

1967978880 is an abundant number, since it is smaller than the sum of its proper divisors (5798668320).

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

1967978880 is a wasteful number, since it uses less digits than its factorization.

1967978880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48841 (or 48826 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 63.

The square root of 1967978880 is about 44361.9079842155. The cubic root of 1967978880 is about 1253.1608283278.

The spelling of 1967978880 in words is "one billion, nine hundred sixty-seven million, nine hundred seventy-eight thousand, eight hundred eighty".