4779953640 has 512 divisors, whose sum is σ = 20030976000. Its totient is φ = 984960000.

The previous prime is 4779953639. The next prime is 4779953653. The reversal of 4779953640 is 463599774.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19043515 + ... + 19043765.

It is an arithmetic number, because the mean of its divisors is an integer number (39123000).

Almost surely, 2^4779953640 is an apocalyptic number.

4779953640 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 4779953640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10015488000).

4779953640 is an abundant number, since it is smaller than the sum of its proper divisors (15251022360).

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

4779953640 is a wasteful number, since it uses less digits than its factorization.

4779953640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 4779953640 is about 69137.2087952645. The cubic root of 4779953640 is about 1684.5137546265.

The spelling of 4779953640 in words is "four billion, seven hundred seventy-nine million, nine hundred fifty-three thousand, six hundred forty".