72984920486400 has 960 divisors, whose sum is σ = 288958545469440. Its totient is φ = 17936783769600.

The previous prime is 72984920486389. The next prime is 72984920486437. The reversal of 72984920486400 is 468402948927.

72984920486400 is a `hidden beast` number, since 7 + 2 + 98 + 4 + 9 + 20 + 486 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×72984920486400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2879872129 + ... + 2879897471.

It is an arithmetic number, because the mean of its divisors is an integer number (300998484864).

Almost surely, 2^{72984920486400} 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 72984920486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144479272734720).

72984920486400 is an abundant number, since it is smaller than the sum of its proper divisors (215973624983040).

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

72984920486400 is a wasteful number, since it uses less digits than its factorization.

72984920486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26034 (or 26007 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 72984920486400 in words is "seventy-two trillion, nine hundred eighty-four billion, nine hundred twenty million, four hundred eighty-six thousand, four hundred".