64953844693920 has 1152 divisors, whose sum is σ = 289191631712256. Its totient is φ = 12883302678528.

The previous prime is 64953844693897. The next prime is 64953844693951. The reversal of 64953844693920 is 2939644835946.

64953844693920 is a `hidden beast` number, since 6 + 4 + 9 + 5 + 3 + 8 + 446 + 93 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1953658737 + ... + 1953691983.

It is an arithmetic number, because the mean of its divisors is an integer number (251034402528).

Almost surely, 2^{64953844693920} is an apocalyptic number.

64953844693920 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 64953844693920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144595815856128).

64953844693920 is an abundant number, since it is smaller than the sum of its proper divisors (224237787018336).

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

64953844693920 is a wasteful number, since it uses less digits than its factorization.

64953844693920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34182 (or 34171 counting only the distinct ones).

The product of its (nonzero) digits is 1209323520, while the sum is 72.

The spelling of 64953844693920 in words is "sixty-four trillion, nine hundred fifty-three billion, eight hundred forty-four million, six hundred ninety-three thousand, nine hundred twenty".