4778040960 has 1344 divisors, whose sum is σ = 22876927200. Its totient is φ = 940584960.

The previous prime is 4778040959. The next prime is 4778040983. The reversal of 4778040960 is 690408774.

4778040960 is a `hidden beast` number, since 477 + 80 + 40 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 251475831 + ... + 251475849.

Almost surely, 2^4778040960 is an apocalyptic number.

4778040960 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 4778040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11438463600).

4778040960 is an abundant number, since it is smaller than the sum of its proper divisors (18098886240).

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

4778040960 is a wasteful number, since it uses less digits than its factorization.

4778040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 4778040960 is about 69123.3749176066. The cubic root of 4778040960 is about 1684.2890407586.

The spelling of 4778040960 in words is "four billion, seven hundred seventy-eight million, forty thousand, nine hundred sixty".