4935790080 has 400 divisors, whose sum is σ = 19048718304. Its totient is φ = 1214300160.

The previous prime is 4935790073. The next prime is 4935790091. The reversal of 4935790080 is 800975394.

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 (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2694765 + ... + 2696595.

Almost surely, 2^4935790080 is an apocalyptic number.

4935790080 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 4935790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9524359152).

4935790080 is an abundant number, since it is smaller than the sum of its proper divisors (14112928224).

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

4935790080 is a wasteful number, since it uses less digits than its factorization.

4935790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 4935790080 is about 70255.1783144844. The cubic root of 4935790080 is about 1702.6245595761.

The spelling of 4935790080 in words is "four billion, nine hundred thirty-five million, seven hundred ninety thousand, eighty".