4764695040 has 480 divisors, whose sum is σ = 19487609856. Its totient is φ = 1052835840.

The previous prime is 4764695003. The next prime is 4764695063. The reversal of 4764695040 is 405964674.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4999204 + ... + 5000156.

Almost surely, 2^4764695040 is an apocalyptic number.

4764695040 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 4764695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9743804928).

4764695040 is an abundant number, since it is smaller than the sum of its proper divisors (14722914816).

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

4764695040 is a wasteful number, since it uses less digits than its factorization.

4764695040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4764695040 is about 69026.7704590038. The cubic root of 4764695040 is about 1682.7194052648.

The spelling of 4764695040 in words is "four billion, seven hundred sixty-four million, six hundred ninety-five thousand, forty".