6455072931840 has 720 divisors, whose sum is σ = 24292533178368. Its totient is φ = 1576132411392.

The previous prime is 6455072931829. The next prime is 6455072931841. The reversal of 6455072931840 is 481392705546.

It is a happy number.

6455072931840 is a `hidden beast` number, since 6 + 4 + 5 + 507 + 2 + 93 + 1 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (6455072931841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1217246629 + ... + 1217251931.

It is a 1-persistent number, because it is pandigital, but 2⋅6455072931840 = 12910145863680 is not.

Almost surely, 2^{6455072931840} is an apocalyptic number.

6455072931840 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 6455072931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12146266589184).

6455072931840 is an abundant number, since it is smaller than the sum of its proper divisors (17837460246528).

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

6455072931840 is a wasteful number, since it uses less digits than its factorization.

6455072931840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5482 (or 5453 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 6455072931840 in words is "six trillion, four hundred fifty-five billion, seventy-two million, nine hundred thirty-one thousand, eight hundred forty".