4778000640 has 432 divisors, whose sum is σ = 19052761728. Its totient is φ = 1082916864.

The previous prime is 4778000627. The next prime is 4778000663. The reversal of 4778000640 is 460008774.

It is a happy number.

4778000640 is a `hidden beast` number, since 4 + 7 + 7 + 8 + 0 + 0 + 0 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4778000595 and 4778000604.

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, 15563367 + ... + 15563673.

Almost surely, 2^4778000640 is an apocalyptic number.

4778000640 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 4778000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9526380864).

4778000640 is an abundant number, since it is smaller than the sum of its proper divisors (14274761088).

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

4778000640 is a wasteful number, since it uses less digits than its factorization.

4778000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4778000640 is about 69123.0832645651. The cubic root of 4778000640 is about 1684.2843030620.

The spelling of 4778000640 in words is "four billion, seven hundred seventy-eight million, six hundred forty", and thus it is an aban number.