1629764064 has 168 divisors, whose sum is σ = 5065268040. Its totient is φ = 514522368.

The previous prime is 1629764053. The next prime is 1629764111. The reversal of 1629764064 is 4604679261.

It is a super-2 number, since 2×1629764064² = 5312261808611592192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 441394 + ... + 445070.

It is an arithmetic number, because the mean of its divisors is an integer number (30150405).

Almost surely, 2^1629764064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1629764064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532634020).

1629764064 is an abundant number, since it is smaller than the sum of its proper divisors (3435503976).

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

1629764064 is an equidigital number, since it uses as much as digits as its factorization.

1629764064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3724 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 1629764064 is about 40370.3364365471. The cubic root of 1629764064 is about 1176.8151366538.

The spelling of 1629764064 in words is "one billion, six hundred twenty-nine million, seven hundred sixty-four thousand, sixty-four".