73706947885440 has 256 divisors, whose sum is σ = 261249619968000. Its totient is φ = 19639812593664.

The previous prime is 73706947885427. The next prime is 73706947885499. The reversal of 73706947885440 is 4458874960737.

73706947885440 is a `hidden beast` number, since 7 + 3 + 7 + 0 + 6 + 9 + 4 + 78 + 8 + 544 + 0 = 666.

73706947885440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20433627 + ... + 23768613.

It is an arithmetic number, because the mean of its divisors is an integer number (1020506328000).

Almost surely, 2^{73706947885440} 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 73706947885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130624809984000).

73706947885440 is an abundant number, since it is smaller than the sum of its proper divisors (187542672082560).

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

73706947885440 is a wasteful number, since it uses less digits than its factorization.

73706947885440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336294 (or 3336276 counting only the distinct ones).

The product of its (nonzero) digits is 1137991680, while the sum is 72.

The spelling of 73706947885440 in words is "seventy-three trillion, seven hundred six billion, nine hundred forty-seven million, eight hundred eighty-five thousand, four hundred forty".