73914647040 has 640 divisors, whose sum is σ = 289473972480. Its totient is φ = 17761959936.

The previous prime is 73914647033. The next prime is 73914647041. The reversal of 73914647040 is 4074641937.

73914647040 is a `hidden beast` number, since 7 + 39 + 146 + 470 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (73914647041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38637124 + ... + 38639036.

It is an arithmetic number, because the mean of its divisors is an integer number (452303082).

Almost surely, 2^73914647040 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 73914647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144736986240).

73914647040 is an abundant number, since it is smaller than the sum of its proper divisors (215559325440).

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

73914647040 is a wasteful number, since it uses less digits than its factorization.

73914647040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 73914647040 in words is "seventy-three billion, nine hundred fourteen million, six hundred forty-seven thousand, forty".