64073617920 has 1120 divisors, whose sum is σ = 262986292800. Its totient is φ = 14834368512.

The previous prime is 64073617903. The next prime is 64073617961. The reversal of 64073617920 is 2971637046.

64073617920 is a `hidden beast` number, since 6 + 4 + 0 + 7 + 3 + 617 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 460961211 + ... + 460961349.

It is an arithmetic number, because the mean of its divisors is an integer number (234809190).

Almost surely, 2^64073617920 is an apocalyptic number.

64073617920 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 64073617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131493146400).

64073617920 is an abundant number, since it is smaller than the sum of its proper divisors (198912674880).

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

64073617920 is a wasteful number, since it uses less digits than its factorization.

64073617920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 64073617920 in words is "sixty-four billion, seventy-three million, six hundred seventeen thousand, nine hundred twenty".