1967264640 has 384 divisors, whose sum is σ = 7547061600. Its totient is φ = 468172800.

The previous prime is 1967264627. The next prime is 1967264647. The reversal of 1967264640 is 464627691.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1967264647) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3864706 + ... + 3865214.

Almost surely, 2^1967264640 is an apocalyptic number.

1967264640 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 1967264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773530800).

1967264640 is an abundant number, since it is smaller than the sum of its proper divisors (5579796960).

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

1967264640 is a wasteful number, since it uses less digits than its factorization.

1967264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 1967264640 is about 44353.8571039769. The cubic root of 1967264640 is about 1253.0092064613.

The spelling of 1967264640 in words is "one billion, nine hundred sixty-seven million, two hundred sixty-four thousand, six hundred forty".