6473157120 has 800 divisors, whose sum is σ = 25667642880. Its totient is φ = 1552711680.

The previous prime is 6473157113. The next prime is 6473157127. The reversal of 6473157120 is 217513746.

It is a happy number.

6473157120 is a `hidden beast` number, since 64 + 7 + 3 + 1 + 571 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (6473157113) and next prime (6473157127).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6473157127) 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, 122135014 + ... + 122135066.

Almost surely, 2^6473157120 is an apocalyptic number.

6473157120 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 6473157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12833821440).

6473157120 is an abundant number, since it is smaller than the sum of its proper divisors (19194485760).

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

6473157120 is a wasteful number, since it uses less digits than its factorization.

6473157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 6473157120 is about 80455.9327831080. The cubic root of 6473157120 is about 1863.6830249323.

The spelling of 6473157120 in words is "six billion, four hundred seventy-three million, one hundred fifty-seven thousand, one hundred twenty".