4876077360 has 720 divisors, whose sum is σ = 20414193408. Its totient is φ = 942120960.

The previous prime is 4876077341. The next prime is 4876077379. The reversal of 4876077360 is 637706784.

It is an interprime number because it is at equal distance from previous prime (4876077341) and next prime (4876077379).

It is a super-2 number, since 2×4876077360² = 47552260841409139200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58747879 + ... + 58747961.

Almost surely, 2^4876077360 is an apocalyptic number.

4876077360 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 4876077360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10207096704).

4876077360 is an abundant number, since it is smaller than the sum of its proper divisors (15538116048).

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

4876077360 is a wasteful number, since it uses less digits than its factorization.

4876077360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The square root of 4876077360 is about 69828.9149278435. The cubic root of 4876077360 is about 1695.7306201892.

The spelling of 4876077360 in words is "four billion, eight hundred seventy-six million, seventy-seven thousand, three hundred sixty".