4006968000 has 896 divisors, whose sum is σ = 16980627456. Its totient is φ = 811008000.

The previous prime is 4006967989. The next prime is 4006968001. The reversal of 4006968000 is 8696004.

It is not an unprimeable number, because it can be changed into a prime (4006968001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65687970 + ... + 65688030.

Almost surely, 2^4006968000 is an apocalyptic number.

4006968000 is a gapful number since it is divisible by the number (40) 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 4006968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8490313728).

4006968000 is an abundant number, since it is smaller than the sum of its proper divisors (12973659456).

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

4006968000 is a wasteful number, since it uses less digits than its factorization.

4006968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 4006968000 is about 63300.6161107457. The cubic root of 4006968000 is about 1588.3222681331.

The spelling of 4006968000 in words is "four billion, six million, nine hundred sixty-eight thousand".