29753490064 has 45 divisors (see below), whose sum is σ = 59743951657. Its totient is φ = 14354094272.

The previous prime is 29753490061. The next prime is 29753490079. The reversal of 29753490064 is 46009435792.

The square root of 29753490064 is 172492.

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., 15602008464 + 14151481600 = 124908^2 + 118960^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29753490061) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20008329 + ... + 20009815.

Almost surely, 2^29753490064 is an apocalyptic number.

29753490064 is the 172492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29753490064

29753490064 is an abundant number, since it is smaller than the sum of its proper divisors (29990461593).

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

29753490064 is an frugal number, since it uses more digits than its factorization.

29753490064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3040 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

Multiplying 29753490064 by its sum of digits (49), we get a square (1457921013136 = 1207444²).

The spelling of 29753490064 in words is "twenty-nine billion, seven hundred fifty-three million, four hundred ninety thousand, sixty-four".