838707972480 has 1024 divisors, whose sum is σ = 3539823667200. Its totient is φ = 183673847808.

The previous prime is 838707972469. The next prime is 838707972481. The reversal of 838707972480 is 84279707838.

838707972480 is a `hidden beast` number, since 8 + 3 + 87 + 0 + 7 + 9 + 72 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838707972481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 299858442 + ... + 299861238.

It is an arithmetic number, because the mean of its divisors is an integer number (3456859050).

Almost surely, 2^838707972480 is an apocalyptic number.

838707972480 is a gapful number since it is divisible by the number (80) 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 838707972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769911833600).

838707972480 is an abundant number, since it is smaller than the sum of its proper divisors (2701115694720).

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

838707972480 is a wasteful number, since it uses less digits than its factorization.

838707972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 838707972480 in words is "eight hundred thirty-eight billion, seven hundred seven million, nine hundred seventy-two thousand, four hundred eighty".