4734132480 has 720 divisors, whose sum is σ = 21155105664. Its totient is φ = 982056960.

The previous prime is 4734132461. The next prime is 4734132541. The reversal of 4734132480 is 842314374.

4734132480 is a `hidden beast` number, since 47 + 3 + 4 + 132 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 79 ways as a sum of consecutive naturals, for example, 7983064 + ... + 7983656.

Almost surely, 2^4734132480 is an apocalyptic number.

4734132480 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 4734132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10577552832).

4734132480 is an abundant number, since it is smaller than the sum of its proper divisors (16420973184).

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

4734132480 is a wasteful number, since it uses less digits than its factorization.

4734132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 621 counting only the distinct ones).

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

The square root of 4734132480 is about 68805.0323740931. The cubic root of 4734132480 is about 1679.1138183453.

The spelling of 4734132480 in words is "four billion, seven hundred thirty-four million, one hundred thirty-two thousand, four hundred eighty".