73970288640 has 480 divisors, whose sum is σ = 266948922240. Its totient is φ = 19671662592.

The previous prime is 73970288617. The next prime is 73970288641. The reversal of 73970288640 is 4688207937.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73970288641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 201553737 + ... + 201554103.

It is an arithmetic number, because the mean of its divisors is an integer number (556143588).

Almost surely, 2^73970288640 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 73970288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133474461120).

73970288640 is an abundant number, since it is smaller than the sum of its proper divisors (192978633600).

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

73970288640 is an frugal number, since it uses more digits than its factorization.

73970288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 73970288640 in words is "seventy-three billion, nine hundred seventy million, two hundred eighty-eight thousand, six hundred forty".