73890971440 has 320 divisors, whose sum is σ = 206536780800. Its totient is φ = 24230891520.

The previous prime is 73890971431. The next prime is 73890971467. The reversal of 73890971440 is 4417909837.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114205197 + ... + 114205843.

It is an arithmetic number, because the mean of its divisors is an integer number (645427440).

Almost surely, 2^73890971440 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 73890971440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103268390400).

73890971440 is an abundant number, since it is smaller than the sum of its proper divisors (132645809360).

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

73890971440 is a wasteful number, since it uses less digits than its factorization.

73890971440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 52.

The spelling of 73890971440 in words is "seventy-three billion, eight hundred ninety million, nine hundred seventy-one thousand, four hundred forty".