4764501000 has 384 divisors, whose sum is σ = 19093052160. Its totient is φ = 1088640000.

The previous prime is 4764500963. The next prime is 4764501017. The reversal of 4764501000 is 1054674.

4764501000 is a `hidden beast` number, since 4 + 7 + 645 + 0 + 10 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1699600 + ... + 1702400.

It is an arithmetic number, because the mean of its divisors is an integer number (49721490).

Almost surely, 2^4764501000 is an apocalyptic number.

4764501000 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 4764501000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9546526080).

4764501000 is an abundant number, since it is smaller than the sum of its proper divisors (14328551160).

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

4764501000 is a wasteful number, since it uses less digits than its factorization.

4764501000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 4764501000 is about 69025.3649030557. The cubic root of 4764501000 is about 1682.6965622984.

Adding to 4764501000 its reverse (1054674), we get a palindrome (4765555674).

The spelling of 4764501000 in words is "four billion, seven hundred sixty-four million, five hundred one thousand".