420615756760 has 64 divisors (see below), whose sum is σ = 963080707680. Its totient is φ = 165300664320.

The previous prime is 420615756749. The next prime is 420615756761. The reversal of 420615756760 is 67657516024.

It is a super-2 number, since 2×420615756760² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420615756761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250944 + ... + 950896.

Almost surely, 2^420615756760 is an apocalyptic number.

420615756760 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 420615756760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481540353840).

420615756760 is an abundant number, since it is smaller than the sum of its proper divisors (542464950920).

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

420615756760 is a wasteful number, since it uses less digits than its factorization.

420615756760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700228 (or 700224 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 49.

The spelling of 420615756760 in words is "four hundred twenty billion, six hundred fifteen million, seven hundred fifty-six thousand, seven hundred sixty".