4677378048 has 560 divisors, whose sum is σ = 17127443520. Its totient is φ = 1242169344.

The previous prime is 4677378047. The next prime is 4677378061. The reversal of 4677378048 is 8408737764.

4677378048 is a `hidden beast` number, since 467 + 73 + 78 + 0 + 48 = 666.

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 4677377985 and 4677378003.

It is not an unprimeable number, because it can be changed into a prime (4677378047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 88252390 + ... + 88252442.

Almost surely, 2^4677378048 is an apocalyptic number.

4677378048 is a gapful number since it is divisible by the number (48) 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 4677378048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8563721760).

4677378048 is an abundant number, since it is smaller than the sum of its proper divisors (12450065472).

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

4677378048 is an equidigital number, since it uses as much as digits as its factorization.

4677378048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The square root of 4677378048 is about 68391.3594542469. The cubic root of 4677378048 is about 1672.3768905342.

The spelling of 4677378048 in words is "four billion, six hundred seventy-seven million, three hundred seventy-eight thousand, forty-eight".