4687295040 has 392 divisors, whose sum is σ = 17030443968. Its totient is φ = 1227985920.

The previous prime is 4687295021. The next prime is 4687295089. The reversal of 4687295040 is 405927864.

It is a happy number.

4687295040 is a `hidden beast` number, since 46 + 87 + 29 + 504 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 16562739 + ... + 16563021.

Almost surely, 2^4687295040 is an apocalyptic number.

4687295040 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 4687295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8515221984).

4687295040 is an abundant number, since it is smaller than the sum of its proper divisors (12343148928).

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

4687295040 is an equidigital number, since it uses as much as digits as its factorization.

4687295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4687295040 is about 68463.8228555783. The cubic root of 4687295040 is about 1673.5579824984.

The spelling of 4687295040 in words is "four billion, six hundred eighty-seven million, two hundred ninety-five thousand, forty".