73903888670976 has 4320 divisors, whose sum is σ = 307749091668480. Its totient is φ = 17134483931136.

The previous prime is 73903888670933. The next prime is 73903888671073. The reversal of 73903888670976 is 67907688830937.

73903888670976 is a `hidden beast` number, since 7 + 3 + 9 + 0 + 388 + 86 + 70 + 97 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 73903888670895 and 73903888670904.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 830380771540 + ... + 830380771628.

It is an arithmetic number, because the mean of its divisors is an integer number (71238215664).

Almost surely, 2^{73903888670976} is an apocalyptic number.

73903888670976 is a gapful number since it is divisible by the number (76) 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 73903888670976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153874545834240).

73903888670976 is an abundant number, since it is smaller than the sum of its proper divisors (233845202997504).

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

73903888670976 is a wasteful number, since it uses less digits than its factorization.

73903888670976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 4608866304, while the sum is 81.

The spelling of 73903888670976 in words is "seventy-three trillion, nine hundred three billion, eight hundred eighty-eight million, six hundred seventy thousand, nine hundred seventy-six".