64951191072 has 288 divisors, whose sum is σ = 196547420160. Its totient is φ = 20312064000.

The previous prime is 64951191059. The next prime is 64951191073. The reversal of 64951191072 is 27019115946.

64951191072 is a `hidden beast` number, since 6 + 49 + 511 + 91 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (64951191073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69914704 + ... + 69915632.

It is an arithmetic number, because the mean of its divisors is an integer number (682456320).

Almost surely, 2^64951191072 is an apocalyptic number.

64951191072 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 64951191072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98273710080).

64951191072 is an abundant number, since it is smaller than the sum of its proper divisors (131596229088).

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

64951191072 is a wasteful number, since it uses less digits than its factorization.

64951191072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 64951191072 in words is "sixty-four billion, nine hundred fifty-one million, one hundred ninety-one thousand, seventy-two".