64553416361280 has 896 divisors, whose sum is σ = 290526246236160. Its totient is φ = 13101744660480.

The previous prime is 64553416361257. The next prime is 64553416361281. The reversal of 64553416361280 is 8216361435546.

64553416361280 is a `hidden beast` number, since 6 + 4 + 5 + 5 + 3 + 4 + 16 + 3 + 612 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64553416361281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27478762 + ... + 29735318.

Almost surely, 2^{64553416361280} is an apocalyptic number.

64553416361280 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 64553416361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145263123118080).

64553416361280 is an abundant number, since it is smaller than the sum of its proper divisors (225972829874880).

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

64553416361280 is a wasteful number, since it uses less digits than its factorization.

64553416361280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256644 (or 2256628 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 64553416361280 in words is "sixty-four trillion, five hundred fifty-three billion, four hundred sixteen million, three hundred sixty-one thousand, two hundred eighty".