61834752000 has 1248 divisors, whose sum is σ = 267907820544. Its totient is φ = 13934592000.

The previous prime is 61834751977. The next prime is 61834752013. The reversal of 61834752000 is 25743816.

61834752000 is a `hidden beast` number, since 6 + 183 + 475 + 2 + 0 + 0 + 0 = 666.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 870911965 + ... + 870912035.

It is an arithmetic number, because the mean of its divisors is an integer number (214669728).

Almost surely, 2^61834752000 is an apocalyptic number.

61834752000 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 61834752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133953910272).

61834752000 is an abundant number, since it is smaller than the sum of its proper divisors (206073068544).

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

61834752000 is an frugal number, since it uses more digits than its factorization.

61834752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 61834752000 in words is "sixty-one billion, eight hundred thirty-four million, seven hundred fifty-two thousand".