6474625920 has 256 divisors, whose sum is σ = 26207308800. Its totient is φ = 1479886848.

The previous prime is 6474625919. The next prime is 6474625921. The reversal of 6474625920 is 295264746.

It is an interprime number because it is at equal distance from previous prime (6474625919) and next prime (6474625921).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6474625921) 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, 94197 + ... + 147723.

It is an arithmetic number, because the mean of its divisors is an integer number (102372300).

Almost surely, 2^6474625920 is an apocalyptic number.

6474625920 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 6474625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13103654400).

6474625920 is an abundant number, since it is smaller than the sum of its proper divisors (19732682880).

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

6474625920 is a wasteful number, since it uses less digits than its factorization.

6474625920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53562 (or 53544 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 6474625920 is about 80465.0602435616. The cubic root of 6474625920 is about 1863.8239747326.

The spelling of 6474625920 in words is "six billion, four hundred seventy-four million, six hundred twenty-five thousand, nine hundred twenty".