1967672640 has 56 divisors (see below), whose sum is σ = 6247363680. Its totient is φ = 524712448.

The previous prime is 1967672621. The next prime is 1967672659. The reversal of 1967672640 is 462767691.

It is an interprime number because it is at equal distance from previous prime (1967672621) and next prime (1967672659).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1967672640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1023870 + ... + 1025789.

Almost surely, 2^1967672640 is an apocalyptic number.

1967672640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1967672640 is an abundant number, since it is smaller than the sum of its proper divisors (4279691040).

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

1967672640 is a wasteful number, since it uses less digits than its factorization.

1967672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049679 (or 2049669 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 1967672640 is about 44358.4562400451. The cubic root of 1967672640 is about 1253.0958229080.

The spelling of 1967672640 in words is "one billion, nine hundred sixty-seven million, six hundred seventy-two thousand, six hundred forty".