69972032640 has 384 divisors, whose sum is σ = 249434798400. Its totient is φ = 16634806272.

The previous prime is 69972032591. The next prime is 69972032653. The reversal of 69972032640 is 4623027996.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 69972032640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10539402 + ... + 10546038.

Almost surely, 2^69972032640 is an apocalyptic number.

69972032640 is a gapful number since it is divisible by the number (60) 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 69972032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124717399200).

69972032640 is an abundant number, since it is smaller than the sum of its proper divisors (179462765760).

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

69972032640 is a wasteful number, since it uses less digits than its factorization.

69972032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6712 (or 6683 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 69972032640 in words is "sixty-nine billion, nine hundred seventy-two million, thirty-two thousand, six hundred forty".