1967412480 has 288 divisors, whose sum is σ = 7007551488. Its totient is φ = 466329600.

The previous prime is 1967412457. The next prime is 1967412493. The reversal of 1967412480 is 842147691.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1984785 + ... + 1985775.

It is an arithmetic number, because the mean of its divisors is an integer number (24331776).

Almost surely, 2^1967412480 is an apocalyptic number.

1967412480 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 1967412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503775744).

1967412480 is an abundant number, since it is smaller than the sum of its proper divisors (5040139008).

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

1967412480 is a wasteful number, since it uses less digits than its factorization.

1967412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 1967412480 is about 44355.5236695499. The cubic root of 1967412480 is about 1253.0405935689.

The spelling of 1967412480 in words is "one billion, nine hundred sixty-seven million, four hundred twelve thousand, four hundred eighty".