73998464649408 has 336 divisors, whose sum is σ = 237128008624416. Its totient is φ = 22744807464960.

The previous prime is 73998464649331. The next prime is 73998464649419. The reversal of 73998464649408 is 80494646489937.

It is a happy number.

73998464649408 is a `hidden beast` number, since 7 + 3 + 9 + 9 + 8 + 464 + 64 + 94 + 0 + 8 = 666.

It is a super-3 number, since 3×73998464649408³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192481698 + ... + 192865758.

It is an arithmetic number, because the mean of its divisors is an integer number (705738120906).

Almost surely, 2^{73998464649408} is an apocalyptic number.

73998464649408 is a gapful number since it is divisible by the number (78) 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 73998464649408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118564004312208).

73998464649408 is an abundant number, since it is smaller than the sum of its proper divisors (163129543975008).

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

73998464649408 is a wasteful number, since it uses less digits than its factorization.

73998464649408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385054 (or 385032 counting only the distinct ones).

The product of its (nonzero) digits is 9029615616, while the sum is 81.

The spelling of 73998464649408 in words is "seventy-three trillion, nine hundred ninety-eight billion, four hundred sixty-four million, six hundred forty-nine thousand, four hundred eight".