6479417520900 has 135 divisors (see below), whose sum is σ = 21004454485861. Its totient is φ = 1727783580960.

The previous prime is 6479417520871. The next prime is 6479417520929. The reversal of 6479417520900 is 90257149746.

The square root of 6479417520900 is 2545470.

It is a perfect power (a square), and thus also a powerful number.

6479417520900 is a `hidden beast` number, since 6 + 4 + 79 + 41 + 7 + 520 + 9 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6479417520871) and next prime (6479417520929).

It can be written as a sum of positive squares in only one way, i.e., 2332590307524 + 4146827213376 = 1527282^2 + 2036376^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 229078159 + ... + 229106441.

Almost surely, 2^{6479417520900} is an apocalyptic number.

6479417520900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6479417520900 is the 2545470-th square number.

It is an amenable number.

6479417520900 is an abundant number, since it is smaller than the sum of its proper divisors (14525036964961).

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

6479417520900 is an frugal number, since it uses more digits than its factorization.

6479417520900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56592 (or 28293 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 6479417520900 in words is "six trillion, four hundred seventy-nine billion, four hundred seventeen million, five hundred twenty thousand, nine hundred".