4937804640 has 288 divisors, whose sum is σ = 17197820640. Its totient is φ = 1289945088.

The previous prime is 4937804633. The next prime is 4937804687. The reversal of 4937804640 is 464087394.

4937804640 is a `hidden beast` number, since 493 + 7 + 80 + 46 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25584384 + ... + 25584576.

It is an arithmetic number, because the mean of its divisors is an integer number (59714655).

Almost surely, 2^4937804640 is an apocalyptic number.

4937804640 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 4937804640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8598910320).

4937804640 is an abundant number, since it is smaller than the sum of its proper divisors (12260016000).

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

4937804640 is a wasteful number, since it uses less digits than its factorization.

4937804640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4937804640 is about 70269.5143002995. The cubic root of 4937804640 is about 1702.8561721260.

The spelling of 4937804640 in words is "four billion, nine hundred thirty-seven million, eight hundred four thousand, six hundred forty".