4662007000 has 96 divisors (see below), whose sum is σ = 12690306720. Its totient is φ = 1598385600.

The previous prime is 4662006977. The next prime is 4662007001. The reversal of 4662007000 is 7002664.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4662007001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1429 + ... + 96571.

It is an arithmetic number, because the mean of its divisors is an integer number (132190695).

Almost surely, 2^4662007000 is an apocalyptic number.

4662007000 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 4662007000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6345153360).

4662007000 is an abundant number, since it is smaller than the sum of its proper divisors (8028299720).

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

4662007000 is a wasteful number, since it uses less digits than its factorization.

4662007000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95178 (or 95157 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 4662007000 is about 68278.8913208174. The cubic root of 4662007000 is about 1670.5429288768.

Adding to 4662007000 its reverse (7002664), we get a palindrome (4669009664).

The spelling of 4662007000 in words is "four billion, six hundred sixty-two million, seven thousand".