4640331696 has 960 divisors, whose sum is σ = 18821652480. Its totient is φ = 948879360.

The previous prime is 4640331691. The next prime is 4640331757. The reversal of 4640331696 is 6961330464.

4640331696 = T₃₁₅ + T₃₁₆ + ... + T₃₀₃₁.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4640331691) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 201753541 + ... + 201753563.

It is an arithmetic number, because the mean of its divisors is an integer number (19605888).

Almost surely, 2^4640331696 is an apocalyptic number.

4640331696 is a gapful number since it is divisible by the number (46) 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 4640331696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9410826240).

4640331696 is an abundant number, since it is smaller than the sum of its proper divisors (14181320784).

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

4640331696 is a wasteful number, since it uses less digits than its factorization.

4640331696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The square root of 4640331696 is about 68119.9801526689. The cubic root of 4640331696 is about 1667.9499263243.

The spelling of 4640331696 in words is "four billion, six hundred forty million, three hundred thirty-one thousand, six hundred ninety-six".