8273545927920 has 4800 divisors, whose sum is σ = 40551764520960. Its totient is φ = 1542559334400.

The previous prime is 8273545927883. The next prime is 8273545928027. The reversal of 8273545927920 is 297295453728.

8273545927920 is a `hidden beast` number, since 8 + 2 + 7 + 35 + 4 + 592 + 7 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×8273545927920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 99681276199 + ... + 99681276281.

Almost surely, 2^{8273545927920} is an apocalyptic number.

8273545927920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8273545927920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20275882260480).

8273545927920 is an abundant number, since it is smaller than the sum of its proper divisors (32278218593040).

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

8273545927920 is a wasteful number, since it uses less digits than its factorization.

8273545927920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 8273545927920 in words is "eight trillion, two hundred seventy-three billion, five hundred forty-five million, nine hundred twenty-seven thousand, nine hundred twenty".