420694079616 has 512 divisors, whose sum is σ = 1340485632000. Its totient is φ = 129487196160.

The previous prime is 420694079609. The next prime is 420694079633. The reversal of 420694079616 is 616970496024.

It is a happy number.

420694079616 is a `hidden beast` number, since 420 + 6 + 94 + 0 + 79 + 61 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 508698595 + ... + 508699421.

It is an arithmetic number, because the mean of its divisors is an integer number (2618136000).

Almost surely, 2^420694079616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420694079616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670242816000).

420694079616 is an abundant number, since it is smaller than the sum of its proper divisors (919791552384).

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

420694079616 is a wasteful number, since it uses less digits than its factorization.

420694079616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 420694079616 in words is "four hundred twenty billion, six hundred ninety-four million, seventy-nine thousand, six hundred sixteen".