1634176742016 has 768 divisors, whose sum is σ = 5782756665600. Its totient is φ = 398874378240.

The previous prime is 1634176741969. The next prime is 1634176742017. The reversal of 1634176742016 is 6102476714361.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1634176742017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 471078330 + ... + 471081798.

It is an arithmetic number, because the mean of its divisors is an integer number (7529631075).

Almost surely, 2^{1634176742016} is an apocalyptic number.

1634176742016 is a gapful number since it is divisible by the number (16) 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 1634176742016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2891378332800).

1634176742016 is an abundant number, since it is smaller than the sum of its proper divisors (4148579923584).

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

1634176742016 is a wasteful number, since it uses less digits than its factorization.

1634176742016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597 (or 3572 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 1634176742016 in words is "one trillion, six hundred thirty-four billion, one hundred seventy-six million, seven hundred forty-two thousand, sixteen".