425750177334720 has 672 divisors, whose sum is σ = 1575177884594496. Its totient is φ = 97145782272000.

The previous prime is 425750177334589. The next prime is 425750177334733. The reversal of 425750177334720 is 27433771057524.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×425750177334720³ (a number of 45 digits) contains 333 as substring.

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, 88679476320 + ... + 88679481120.

It is an arithmetic number, because the mean of its divisors is an integer number (2344014709218).

Almost surely, 2^{425750177334720} is an apocalyptic number.

425750177334720 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 425750177334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787588942297248).

425750177334720 is an abundant number, since it is smaller than the sum of its proper divisors (1149427707259776).

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

425750177334720 is a wasteful number, since it uses less digits than its factorization.

425750177334720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7709 (or 7692 counting only the distinct ones).

The product of its (nonzero) digits is 34574400, while the sum is 57.

The spelling of 425750177334720 in words is "four hundred twenty-five trillion, seven hundred fifty billion, one hundred seventy-seven million, three hundred thirty-four thousand, seven hundred twenty".