6135470880 has 384 divisors, whose sum is σ = 25366763520. Its totient is φ = 1207664640.

The previous prime is 6135470879. The next prime is 6135470881. The reversal of 6135470880 is 880745316.

It is an interprime number because it is at equal distance from previous prime (6135470879) and next prime (6135470881).

It is a super-5 number, since 5×6135470880⁵ (a number of 50 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (6135470881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 697872 + ... + 706608.

It is an arithmetic number, because the mean of its divisors is an integer number (66059280).

Almost surely, 2^6135470880 is an apocalyptic number.

6135470880 is a gapful number since it is divisible by the number (60) 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 6135470880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12683381760).

6135470880 is an abundant number, since it is smaller than the sum of its proper divisors (19231292640).

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

6135470880 is a wasteful number, since it uses less digits than its factorization.

6135470880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8792 (or 8784 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 6135470880 is about 78329.2466451708. The cubic root of 6135470880 is about 1830.6948777996.

The spelling of 6135470880 in words is "six billion, one hundred thirty-five million, four hundred seventy thousand, eight hundred eighty".