6002878464 has 384 divisors, whose sum is σ = 19813248000. Its totient is φ = 1780531200.

The previous prime is 6002878463. The next prime is 6002878481. The reversal of 6002878464 is 4648782006.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (6002878463) 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, 43186107 + ... + 43186245.

It is an arithmetic number, because the mean of its divisors is an integer number (51597000).

Almost surely, 2^6002878464 is an apocalyptic number.

6002878464 is a gapful number since it is divisible by the number (64) 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 6002878464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9906624000).

6002878464 is an abundant number, since it is smaller than the sum of its proper divisors (13810369536).

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

6002878464 is a wasteful number, since it uses less digits than its factorization.

6002878464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 6002878464 is about 77478.2451014477. The cubic root of 6002878464 is about 1817.4111306097.

The spelling of 6002878464 in words is "six billion, two million, eight hundred seventy-eight thousand, four hundred sixty-four".