4615380000 has 1200 divisors, whose sum is σ = 21718597824. Its totient is φ = 933120000.

The previous prime is 4615379983. The next prime is 4615380001. The reversal of 4615380000 is 835164.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is not an unprimeable number, because it can be changed into a prime (4615380001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 124739982 + ... + 124740018.

Almost surely, 2^4615380000 is an apocalyptic number.

4615380000 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 4615380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10859298912).

4615380000 is an abundant number, since it is smaller than the sum of its proper divisors (17103217824).

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

4615380000 is a wasteful number, since it uses less digits than its factorization.

4615380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4615380000 is about 67936.5880803562. The cubic root of 4615380000 is about 1664.9549537362.

The spelling of 4615380000 in words is "four billion, six hundred fifteen million, three hundred eighty thousand".