4870677504 has 352 divisors, whose sum is σ = 16507008000. Its totient is φ = 1240104960.

The previous prime is 4870677479. The next prime is 4870677509. The reversal of 4870677504 is 4057760784.

It is a tau number, because it is divible by the number of its divisors (352).

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

It is not an unprimeable number, because it can be changed into a prime (4870677509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13955922 + ... + 13956270.

Almost surely, 2^4870677504 is an apocalyptic number.

4870677504 is a gapful number since it is divisible by the number (44) 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 4870677504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8253504000).

4870677504 is an abundant number, since it is smaller than the sum of its proper divisors (11636330496).

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

4870677504 is a wasteful number, since it uses less digits than its factorization.

4870677504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 48.

The square root of 4870677504 is about 69790.2393175435. The cubic root of 4870677504 is about 1695.1044280907.

The spelling of 4870677504 in words is "four billion, eight hundred seventy million, six hundred seventy-seven thousand, five hundred four".