4627410480 has 960 divisors, whose sum is σ = 21392916480. Its totient is φ = 866764800.

The previous prime is 4627410479. The next prime is 4627410509. The reversal of 4627410480 is 840147264.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24227185 + ... + 24227375.

It is an arithmetic number, because the mean of its divisors is an integer number (22284288).

Almost surely, 2^4627410480 is an apocalyptic number.

4627410480 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 4627410480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10696458240).

4627410480 is an abundant number, since it is smaller than the sum of its proper divisors (16765506000).

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

4627410480 is a wasteful number, since it uses less digits than its factorization.

4627410480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4627410480 is about 68025.0724365656. The cubic root of 4627410480 is about 1666.4003261510.

The spelling of 4627410480 in words is "four billion, six hundred twenty-seven million, four hundred ten thousand, four hundred eighty".