802970485632 has 1280 divisors, whose sum is σ = 2932459200000. Its totient is φ = 217811607552.

The previous prime is 802970485621. The next prime is 802970485637. The reversal of 802970485632 is 236584079208.

802970485632 is a `hidden beast` number, since 8 + 0 + 2 + 9 + 70 + 4 + 8 + 563 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802970485637) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9022140244 + ... + 9022140332.

It is an arithmetic number, because the mean of its divisors is an integer number (2290983750).

Almost surely, 2^802970485632 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 802970485632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466229600000).

802970485632 is an abundant number, since it is smaller than the sum of its proper divisors (2129488714368).

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

802970485632 is an equidigital number, since it uses as much as digits as its factorization.

802970485632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 802970485632 in words is "eight hundred two billion, nine hundred seventy million, four hundred eighty-five thousand, six hundred thirty-two".