4737934080 has 576 divisors, whose sum is σ = 18672675840. Its totient is φ = 1137438720.

The previous prime is 4737934079. The next prime is 4737934087. The reversal of 4737934080 is 804397374.

It is a happy number.

4737934080 is a `hidden beast` number, since 473 + 79 + 34 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×4737934080³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4737934087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45999309 + ... + 45999411.

It is an arithmetic number, because the mean of its divisors is an integer number (32417840).

Almost surely, 2^4737934080 is an apocalyptic number.

4737934080 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 4737934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9336337920).

4737934080 is an abundant number, since it is smaller than the sum of its proper divisors (13934741760).

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

4737934080 is a wasteful number, since it uses less digits than its factorization.

4737934080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 4737934080 is about 68832.6527165705. The cubic root of 4737934080 is about 1679.5631517229.

The spelling of 4737934080 in words is "four billion, seven hundred thirty-seven million, nine hundred thirty-four thousand, eighty".