427617792000 has 1248 divisors, whose sum is σ = 1830703440384. Its totient is φ = 97542144000.

The previous prime is 427617791969. The next prime is 427617792011. The reversal of 427617792000 is 297716724.

427617792000 is a `hidden beast` number, since 4 + 2 + 7 + 617 + 7 + 9 + 20 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 870911755 + ... + 870912245.

It is an arithmetic number, because the mean of its divisors is an integer number (1466909808).

Almost surely, 2^427617792000 is an apocalyptic number.

427617792000 is a gapful number since it is divisible by the number (40) 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 427617792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915351720192).

427617792000 is an abundant number, since it is smaller than the sum of its proper divisors (1403085648384).

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

427617792000 is an frugal number, since it uses more digits than its factorization.

427617792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 427617792000 in words is "four hundred twenty-seven billion, six hundred seventeen million, seven hundred ninety-two thousand".