62829728640 has 1152 divisors, whose sum is σ = 268177029120. Its totient is φ = 13493329920.

The previous prime is 62829728629. The next prime is 62829728651. The reversal of 62829728640 is 4682792826.

62829728640 is a `hidden beast` number, since 628 + 2 + 9 + 7 + 2 + 8 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (62829728629) and next prime (62829728651).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 376225837 + ... + 376226003.

It is an arithmetic number, because the mean of its divisors is an integer number (232792560).

Almost surely, 2^62829728640 is an apocalyptic number.

62829728640 is a gapful number since it is divisible by the number (60) 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 62829728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134088514560).

62829728640 is an abundant number, since it is smaller than the sum of its proper divisors (205347300480).

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

62829728640 is a wasteful number, since it uses less digits than its factorization.

62829728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 62829728640 in words is "sixty-two billion, eight hundred twenty-nine million, seven hundred twenty-eight thousand, six hundred forty".