920270074464000 has 6912 divisors, whose sum is σ = 4134130430976000. Its totient is φ = 202908362342400.

The previous prime is 920270074463963. The next prime is 920270074464043. The reversal of 920270074464000 is 464470072029.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a super-2 number, since 2×920270074464000² (a number of 31 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 4624472735901 + ... + 4624472736099.

It is an arithmetic number, because the mean of its divisors is an integer number (598109148000).

Almost surely, 2^{920270074464000} is an apocalyptic number.

920270074464000 is a gapful number since it is divisible by the number (90) 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 920270074464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067065215488000).

920270074464000 is an abundant number, since it is smaller than the sum of its proper divisors (3213860356512000).

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

920270074464000 is a wasteful number, since it uses less digits than its factorization.

920270074464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 920270074464000 in words is "nine hundred twenty trillion, two hundred seventy billion, seventy-four million, four hundred sixty-four thousand".