1612671344640 has 448 divisors, whose sum is σ = 5767418894400. Its totient is φ = 427509153792.

The previous prime is 1612671344621. The next prime is 1612671344651. The reversal of 1612671344640 is 464431762161.

1612671344640 is a `hidden beast` number, since 1 + 6 + 1 + 267 + 1 + 344 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191319946 + ... + 191328374.

Almost surely, 2^{1612671344640} is an apocalyptic number.

1612671344640 is a gapful number since it is divisible by the number (10) 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 1612671344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883709447200).

1612671344640 is an abundant number, since it is smaller than the sum of its proper divisors (4154747549760).

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

1612671344640 is an equidigital number, since it uses as much as digits as its factorization.

1612671344640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8642 (or 8612 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 1612671344640 in words is "one trillion, six hundred twelve billion, six hundred seventy-one million, three hundred forty-four thousand, six hundred forty".