270414007920 has 240 divisors, whose sum is σ = 1039094065152. Its totient is φ = 61736302080.

The previous prime is 270414007909. The next prime is 270414007951. The reversal of 270414007920 is 29700414072.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4318435 + ... + 4380605.

Almost surely, 2^270414007920 is an apocalyptic number.

270414007920 is a gapful number since it is divisible by the number (20) 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 270414007920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519547032576).

270414007920 is an abundant number, since it is smaller than the sum of its proper divisors (768680057232).

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

270414007920 is a wasteful number, since it uses less digits than its factorization.

270414007920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63060 (or 63051 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 270414007920 in words is "two hundred seventy billion, four hundred fourteen million, seven thousand, nine hundred twenty".