4723631640 has 640 divisors, whose sum is σ = 20114962560. Its totient is φ = 967458816.

The previous prime is 4723631623. The next prime is 4723631641. The reversal of 4723631640 is 461363274.

It is a happy number.

4723631640 is a `hidden beast` number, since 4 + 7 + 2 + 3 + 6 + 3 + 1 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4723631595 and 4723631604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4723631641) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10908864 + ... + 10909296.

It is an arithmetic number, because the mean of its divisors is an integer number (31429629).

Almost surely, 2^4723631640 is an apocalyptic number.

4723631640 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 4723631640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10057481280).

4723631640 is an abundant number, since it is smaller than the sum of its proper divisors (15391330920).

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

4723631640 is a wasteful number, since it uses less digits than its factorization.

4723631640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 4723631640 is about 68728.6813492009. The cubic root of 4723631640 is about 1677.8714113237.

The spelling of 4723631640 in words is "four billion, seven hundred twenty-three million, six hundred thirty-one thousand, six hundred forty".