4978008000 has 1008 divisors, whose sum is σ = 22197206304. Its totient is φ = 1057996800.

The previous prime is 4978007971. The next prime is 4978008001. The reversal of 4978008000 is 8008794.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4978008001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 59975959 + ... + 59976041.

It is an arithmetic number, because the mean of its divisors is an integer number (22021038).

Almost surely, 2^4978008000 is an apocalyptic number.

4978008000 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 4978008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11098603152).

4978008000 is an abundant number, since it is smaller than the sum of its proper divisors (17219198304).

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

4978008000 is a wasteful number, since it uses less digits than its factorization.

4978008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 4978008000 is about 70554.9998228333. Note that the first 3 decimals coincide. The cubic root of 4978008000 is about 1707.4652092604.

The spelling of 4978008000 in words is "four billion, nine hundred seventy-eight million, eight thousand".