2997064534464 has 3024 divisors, whose sum is σ = 13227827479776. Its totient is φ = 640712540160.

The previous prime is 2997064534421. The next prime is 2997064534469. The reversal of 2997064534464 is 4644354607992.

2997064534464 is a `hidden beast` number, since 2 + 9 + 97 + 0 + 6 + 4 + 534 + 4 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2997064534469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 157740238647 + ... + 157740238665.

It is an arithmetic number, because the mean of its divisors is an integer number (4374281574).

Almost surely, 2^{2997064534464} is an apocalyptic number.

2997064534464 is a gapful number since it is divisible by the number (24) 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 2997064534464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6613913739888).

2997064534464 is an abundant number, since it is smaller than the sum of its proper divisors (10230762945312).

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

2997064534464 is a wasteful number, since it uses less digits than its factorization.

2997064534464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 2997064534464 in words is "two trillion, nine hundred ninety-seven billion, sixty-four million, five hundred thirty-four thousand, four hundred sixty-four".