84280603410432 has 3840 divisors, whose sum is σ = 334343002752000. Its totient is φ = 20868444979200.

The previous prime is 84280603410427. The next prime is 84280603410511. The reversal of 84280603410432 is 23401430608248.

It is a happy number.

84280603410432 is a `hidden beast` number, since 8 + 4 + 2 + 8 + 0 + 603 + 4 + 1 + 0 + 4 + 32 = 666.

It is a super-2 number, since 2×84280603410432² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2718729142257 + ... + 2718729142287.

It is an arithmetic number, because the mean of its divisors is an integer number (87068490300).

Almost surely, 2^{84280603410432} 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 84280603410432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167171501376000).

84280603410432 is an abundant number, since it is smaller than the sum of its proper divisors (250062399341568).

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

84280603410432 is a wasteful number, since it uses less digits than its factorization.

84280603410432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 84280603410432 in words is "eighty-four trillion, two hundred eighty billion, six hundred three million, four hundred ten thousand, four hundred thirty-two".