61970832000 has 2048 divisors, whose sum is σ = 300622233600. Its totient is φ = 12317184000.

The previous prime is 61970831983. The next prime is 61970832017. The reversal of 61970832000 is 23807916.

61970832000 is a `hidden beast` number, since 619 + 7 + 0 + 8 + 32 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61970831983) and next prime (61970832017).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2694383989 + ... + 2694384011.

It is an arithmetic number, because the mean of its divisors is an integer number (146788200).

Almost surely, 2^61970832000 is an apocalyptic number.

61970832000 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 61970832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150311116800).

61970832000 is an abundant number, since it is smaller than the sum of its proper divisors (238651401600).

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

61970832000 is an equidigital number, since it uses as much as digits as its factorization.

61970832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 61970832000 in words is "sixty-one billion, nine hundred seventy million, eight hundred thirty-two thousand".