64197967762032 has 720 divisors, whose sum is σ = 196128206419968. Its totient is φ = 18065379870720.

The previous prime is 64197967762009. The next prime is 64197967762057. The reversal of 64197967762032 is 23026776979146.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58735560078 + ... + 58735561170.

Almost surely, 2^{64197967762032} is an apocalyptic number.

64197967762032 is a gapful number since it is divisible by the number (62) 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 64197967762032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98064103209984).

64197967762032 is an abundant number, since it is smaller than the sum of its proper divisors (131930238657936).

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

64197967762032 is a wasteful number, since it uses less digits than its factorization.

64197967762032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 288054144, while the sum is 69.

The spelling of 64197967762032 in words is "sixty-four trillion, one hundred ninety-seven billion, nine hundred sixty-seven million, seven hundred sixty-two thousand, thirty-two".