1629742464 has 512 divisors, whose sum is σ = 5992704000. Its totient is φ = 425779200.

The previous prime is 1629742463. The next prime is 1629742489. The reversal of 1629742464 is 4642479261.

1629742464 is a `hidden beast` number, since 1 + 62 + 97 + 42 + 464 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1629742463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16136014 + ... + 16136114.

It is an arithmetic number, because the mean of its divisors is an integer number (11704500).

Almost surely, 2^1629742464 is an apocalyptic number.

1629742464 is a gapful number since it is divisible by the number (14) 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 1629742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996352000).

1629742464 is an abundant number, since it is smaller than the sum of its proper divisors (4362961536).

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

1629742464 is a wasteful number, since it uses less digits than its factorization.

1629742464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 165 counting only the distinct ones).

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

The square root of 1629742464 is about 40370.0689125000. The cubic root of 1629742464 is about 1176.8099376764.

The spelling of 1629742464 in words is "one billion, six hundred twenty-nine million, seven hundred forty-two thousand, four hundred sixty-four".