67863083904 has 768 divisors, whose sum is σ = 269248665600. Its totient is φ = 16582164480.

The previous prime is 67863083891. The next prime is 67863083917. The reversal of 67863083904 is 40938036876.

It is an interprime number because it is at equal distance from previous prime (67863083891) and next prime (67863083917).

It is a super-2 number, since 2×67863083904² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31666257 + ... + 31668399.

It is an arithmetic number, because the mean of its divisors is an integer number (350584200).

Almost surely, 2^67863083904 is an apocalyptic number.

67863083904 is a gapful number since it is divisible by the number (64) 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 67863083904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134624332800).

67863083904 is an abundant number, since it is smaller than the sum of its proper divisors (201385581696).

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

67863083904 is a wasteful number, since it uses less digits than its factorization.

67863083904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 67863083904 in words is "sixty-seven billion, eight hundred sixty-three million, eighty-three thousand, nine hundred four".