6701460480 has 880 divisors, whose sum is σ = 28462208544. Its totient is φ = 1486356480.

The previous prime is 6701460419. The next prime is 6701460487. The reversal of 6701460480 is 840641076.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6701460487) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59304904 + ... + 59305016.

Almost surely, 2^6701460480 is an apocalyptic number.

6701460480 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 6701460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14231104272).

6701460480 is an abundant number, since it is smaller than the sum of its proper divisors (21760748064).

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

6701460480 is a wasteful number, since it uses less digits than its factorization.

6701460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6701460480 is about 81862.4485341112. The cubic root of 6701460480 is about 1885.3406012780.

The spelling of 6701460480 in words is "six billion, seven hundred one million, four hundred sixty thousand, four hundred eighty".