4734148320 has 288 divisors, whose sum is σ = 18001751040. Its totient is φ = 1123077120.

The previous prime is 4734148303. The next prime is 4734148337. The reversal of 4734148320 is 238414374.

It is an interprime number because it is at equal distance from previous prime (4734148303) and next prime (4734148337).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 741301 + ... + 747659.

It is an arithmetic number, because the mean of its divisors is an integer number (62506080).

Almost surely, 2^4734148320 is an apocalyptic number.

4734148320 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 4734148320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9000875520).

4734148320 is an abundant number, since it is smaller than the sum of its proper divisors (13267602720).

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

4734148320 is a wasteful number, since it uses less digits than its factorization.

4734148320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6438 (or 6427 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4734148320 is about 68805.1474818563. The cubic root of 4734148320 is about 1679.1156910667.

The spelling of 4734148320 in words is "four billion, seven hundred thirty-four million, one hundred forty-eight thousand, three hundred twenty".