4973687040 has 288 divisors, whose sum is σ = 18600857856. Its totient is φ = 1108869120.

The previous prime is 4973687039. The next prime is 4973687051. The reversal of 4973687040 is 407863794.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1099824 + ... + 1104336.

It is an arithmetic number, because the mean of its divisors is an integer number (64586312).

Almost surely, 2^4973687040 is an apocalyptic number.

4973687040 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 4973687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9300428928).

4973687040 is an abundant number, since it is smaller than the sum of its proper divisors (13627170816).

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

4973687040 is a wasteful number, since it uses less digits than its factorization.

4973687040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4585 (or 4571 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 4973687040 is about 70524.3719575013. The cubic root of 4973687040 is about 1706.9710340405.

The spelling of 4973687040 in words is "four billion, nine hundred seventy-three million, six hundred eighty-seven thousand, forty".