6454743120 has 640 divisors, whose sum is σ = 26878279680. Its totient is φ = 1392629760.

The previous prime is 6454743109. The next prime is 6454743131. The reversal of 6454743120 is 213474546.

6454743120 is a `hidden beast` number, since 64 + 5 + 474 + 3 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (6454743109) and next prime (6454743131).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22029694 + ... + 22029986.

It is an arithmetic number, because the mean of its divisors is an integer number (41997312).

Almost surely, 2^6454743120 is an apocalyptic number.

6454743120 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 6454743120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13439139840).

6454743120 is an abundant number, since it is smaller than the sum of its proper divisors (20423536560).

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

6454743120 is a wasteful number, since it uses less digits than its factorization.

6454743120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 6454743120 is about 80341.4159695981. The cubic root of 6454743120 is about 1861.9141584626.

The spelling of 6454743120 in words is "six billion, four hundred fifty-four million, seven hundred forty-three thousand, one hundred twenty".