73400647918400 has 336 divisors, whose sum is σ = 197645387385600. Its totient is φ = 26607989760000.

The previous prime is 73400647918391. The next prime is 73400647918457. The reversal of 73400647918400 is 481974600437.

It is a super-2 number, since 2×73400647918400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9987837926 + ... + 9987845274.

It is an arithmetic number, because the mean of its divisors is an integer number (588230319600).

Almost surely, 2^{73400647918400} 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 73400647918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98822693692800).

73400647918400 is an abundant number, since it is smaller than the sum of its proper divisors (124244739467200).

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

73400647918400 is a wasteful number, since it uses less digits than its factorization.

73400647918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9074 (or 9059 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 53.

The spelling of 73400647918400 in words is "seventy-three trillion, four hundred billion, six hundred forty-seven million, nine hundred eighteen thousand, four hundred".