4719690000 has 225 divisors, whose sum is σ = 16577828553. Its totient is φ = 1253088000.

The previous prime is 4719689921. The next prime is 4719690007. The reversal of 4719690000 is 969174.

The square root of 4719690000 is 68700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1284792336 + 3434897664 = 35844^2 + 58608^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a super-2 number, since 2×4719690000² = 44550947392200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4719690007) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 20609886 + ... + 20610114.

Almost surely, 2^4719690000 is an apocalyptic number.

4719690000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4719690000 is the 68700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4719690000

4719690000 is an abundant number, since it is smaller than the sum of its proper divisors (11858138553).

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

4719690000 is an equidigital number, since it uses as much as digits as its factorization.

4719690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The cubic root of 4719690000 is about 1677.4045808570.

Multiplying 4719690000 by its sum of digits (36), we get a square (169908840000 = 412200²).

4719690000 divided by its sum of digits (36) gives a square (131102500 = 11450²).

The spelling of 4719690000 in words is "four billion, seven hundred nineteen million, six hundred ninety thousand".