4972968000 has 1792 divisors, whose sum is σ = 25562234880. Its totient is φ = 912384000.

The previous prime is 4972967999. The next prime is 4972968019. The reversal of 4972968000 is 8692794.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 216215989 + ... + 216216011.

It is an arithmetic number, because the mean of its divisors is an integer number (14264640).

Almost surely, 2^4972968000 is an apocalyptic number.

4972968000 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 4972968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12781117440).

4972968000 is an abundant number, since it is smaller than the sum of its proper divisors (20589266880).

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

4972968000 is a wasteful number, since it uses less digits than its factorization.

4972968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 4972968000 is about 70519.2739610952. The cubic root of 4972968000 is about 1706.8887718210. Note that the first 3 decimals are identical.

The spelling of 4972968000 in words is "four billion, nine hundred seventy-two million, nine hundred sixty-eight thousand".