6413621760 has 1440 divisors, whose sum is σ = 30564293760. Its totient is φ = 1226244096.

The previous prime is 6413621749. The next prime is 6413621761. The reversal of 6413621760 is 671263146.

It is a happy number.

6413621760 is a `hidden beast` number, since 641 + 3 + 6 + 2 + 1 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×6413621760² = 82269088160690995200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (6413621761) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 278853109 + ... + 278853131.

It is an arithmetic number, because the mean of its divisors is an integer number (21225204).

Almost surely, 2^6413621760 is an apocalyptic number.

6413621760 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 6413621760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15282146880).

6413621760 is an abundant number, since it is smaller than the sum of its proper divisors (24150672000).

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

6413621760 is a wasteful number, since it uses less digits than its factorization.

6413621760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6413621760 is about 80085.0907472795. The cubic root of 6413621760 is about 1857.9518210473.

The spelling of 6413621760 in words is "six billion, four hundred thirteen million, six hundred twenty-one thousand, seven hundred sixty".