6457372451712 has 3072 divisors, whose sum is σ = 26801628364800. Its totient is φ = 1509235752960.

The previous prime is 6457372451653. The next prime is 6457372451801. The reversal of 6457372451712 is 2171542737546.

6457372451712 is a `hidden beast` number, since 6 + 4 + 57 + 3 + 72 + 4 + 517 + 1 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 174523579758 + ... + 174523579794.

It is an arithmetic number, because the mean of its divisors is an integer number (8724488400).

Almost surely, 2^{6457372451712} is an apocalyptic number.

6457372451712 is a gapful number since it is divisible by the number (62) 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 6457372451712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13400814182400).

6457372451712 is an abundant number, since it is smaller than the sum of its proper divisors (20344255913088).

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

6457372451712 is a wasteful number, since it uses less digits than its factorization.

6457372451712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 110 counting only the distinct ones).

The product of its digits is 9878400, while the sum is 54.

The spelling of 6457372451712 in words is "six trillion, four hundred fifty-seven billion, three hundred seventy-two million, four hundred fifty-one thousand, seven hundred twelve".