73978220823552 has 880 divisors, whose sum is σ = 227026559434752. Its totient is φ = 23989654241280.

The previous prime is 73978220823523. The next prime is 73978220823553. The reversal of 73978220823552 is 25532802287937.

It is a happy number.

73978220823552 is a `hidden beast` number, since 7 + 3 + 9 + 78 + 2 + 2 + 0 + 8 + 2 + 3 + 552 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 73978220823552.

It is not an unprimeable number, because it can be changed into a prime (73978220823553) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 166993726243 + ... + 166993726685.

Almost surely, 2^{73978220823552} is an apocalyptic number.

73978220823552 is a gapful number since it is divisible by the number (72) 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 73978220823552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113513279717376).

73978220823552 is an abundant number, since it is smaller than the sum of its proper divisors (153048338611200).

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

73978220823552 is a wasteful number, since it uses less digits than its factorization.

73978220823552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 73978220823552 in words is "seventy-three trillion, nine hundred seventy-eight billion, two hundred twenty million, eight hundred twenty-three thousand, five hundred fifty-two".