4995972000 has 384 divisors, whose sum is σ = 18360276480. Its totient is φ = 1319500800.

The previous prime is 4995971993. The next prime is 4995972031. The reversal of 4995972000 is 2795994.

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 63 ways as a sum of consecutive naturals, for example, 18035862 + ... + 18036138.

It is an arithmetic number, because the mean of its divisors is an integer number (47813220).

Almost surely, 2^4995972000 is an apocalyptic number.

4995972000 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 4995972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9180138240).

4995972000 is an abundant number, since it is smaller than the sum of its proper divisors (13364304480).

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

4995972000 is a wasteful number, since it uses less digits than its factorization.

4995972000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 4995972000 is about 70682.1901188694. The cubic root of 4995972000 is about 1709.5166377740.

The spelling of 4995972000 in words is "four billion, nine hundred ninety-five million, nine hundred seventy-two thousand".