73002530004768 has 576 divisors, whose sum is σ = 265401803197440. Its totient is φ = 19222195110912.

The previous prime is 73002530004731. The next prime is 73002530004827. The reversal of 73002530004768 is 86740003520037.

73002530004768 is a `hidden beast` number, since 73 + 0 + 0 + 2 + 530 + 0 + 0 + 47 + 6 + 8 = 666.

It is a super-2 number, since 2×73002530004768² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 437930971 + ... + 438097637.

It is an arithmetic number, because the mean of its divisors is an integer number (460767019440).

Almost surely, 2^{73002530004768} is an apocalyptic number.

73002530004768 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 73002530004768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132700901598720).

73002530004768 is an abundant number, since it is smaller than the sum of its proper divisors (192399273192672).

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

73002530004768 is a wasteful number, since it uses less digits than its factorization.

73002530004768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167331 (or 167311 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 73002530004768 in words is "seventy-three trillion, two billion, five hundred thirty million, four thousand, seven hundred sixty-eight".