4764606000 has 320 divisors, whose sum is σ = 19153345536. Its totient is φ = 989952000.

The previous prime is 4764605959. The next prime is 4764606001. The reversal of 4764606000 is 6064674.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4764606001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 456844 + ... + 467156.

Almost surely, 2^4764606000 is an apocalyptic number.

4764606000 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 4764606000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9576672768).

4764606000 is an abundant number, since it is smaller than the sum of its proper divisors (14388739536).

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

4764606000 is a wasteful number, since it uses less digits than its factorization.

4764606000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10357 (or 10341 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 4764606000 is about 69026.1254888321. The cubic root of 4764606000 is about 1682.7089232879.

The spelling of 4764606000 in words is "four billion, seven hundred sixty-four million, six hundred six thousand".