1629074427904 has 585 divisors, whose sum is σ = 4293344848821. Its totient is φ = 617550151680.

The previous prime is 1629074427863. The next prime is 1629074427923. The reversal of 1629074427904 is 4097244709261.

The square root of 1629074427904 is 1276352.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1457718169600 + 171356258304 = 1207360^2 + 413952^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 44029038574 + ... + 44029038610.

Almost surely, 2^{1629074427904} is an apocalyptic number.

1629074427904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1629074427904 is the 1276352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1629074427904

1629074427904 is an abundant number, since it is smaller than the sum of its proper divisors (2664270420917).

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

1629074427904 is an frugal number, since it uses more digits than its factorization.

1629074427904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 55.

The spelling of 1629074427904 in words is "one trillion, six hundred twenty-nine billion, seventy-four million, four hundred twenty-seven thousand, nine hundred four".