29072978064 has 135 divisors (see below), whose sum is σ = 88184850507. Its totient is φ = 8937347328.

The previous prime is 29072978027. The next prime is 29072978083. The reversal of 29072978064 is 46087927092.

The square root of 29072978064 is 170508.

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

29072978064 is a `hidden beast` number, since 290 + 7 + 297 + 8 + 0 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2124472464 + 26948505600 = 46092^2 + 164160^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 29072978064.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26598702 + ... + 26599794.

Almost surely, 2^29072978064 is an apocalyptic number.

29072978064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

29072978064 is the 170508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29072978064

29072978064 is an abundant number, since it is smaller than the sum of its proper divisors (59111872443).

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

29072978064 is a wasteful number, since it uses less digits than its factorization.

29072978064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 29072978064 in words is "twenty-nine billion, seventy-two million, nine hundred seventy-eight thousand, sixty-four".