64951014400 has 132 divisors (see below), whose sum is σ = 161590712220. Its totient is φ = 25885081600.

The previous prime is 64951014389. The next prime is 64951014407. The reversal of 64951014400 is 441015946.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6410244096 + 58540770304 = 80064^2 + 241952^2 .

It is a super-3 number, since 3×64951014400³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64951014407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7189086 + ... + 7198114.

Almost surely, 2^64951014400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64951014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80795356110).

64951014400 is an abundant number, since it is smaller than the sum of its proper divisors (96639697820).

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

64951014400 is a wasteful number, since it uses less digits than its factorization.

64951014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9340 (or 9317 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 64951014400 in words is "sixty-four billion, nine hundred fifty-one million, fourteen thousand, four hundred".