6453126973440 has 4608 divisors, whose sum is σ = 31320782438400. Its totient is φ = 1238347284480.

The previous prime is 6453126973429. The next prime is 6453126973487. The reversal of 6453126973440 is 443796213546.

6453126973440 is a `hidden beast` number, since 6 + 4 + 5 + 3 + 126 + 9 + 73 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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

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, 174408837102 + ... + 174408837138.

It is an arithmetic number, because the mean of its divisors is an integer number (6797044800).

Almost surely, 2^{6453126973440} is an apocalyptic number.

6453126973440 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 6453126973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15660391219200).

6453126973440 is an abundant number, since it is smaller than the sum of its proper divisors (24867655464960).

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

6453126973440 is a wasteful number, since it uses less digits than its factorization.

6453126973440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 6453126973440 in words is "six trillion, four hundred fifty-three billion, one hundred twenty-six million, nine hundred seventy-three thousand, four hundred forty".