61376328000 has 672 divisors, whose sum is σ = 246808703232. Its totient is φ = 14446080000.

The previous prime is 61376327963. The next prime is 61376328053. The reversal of 61376328000 is 82367316.

It is a happy number.

61376328000 is a `hidden beast` number, since 6 + 1 + 376 + 3 + 280 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21526575 + ... + 21529425.

It is an arithmetic number, because the mean of its divisors is an integer number (367274856).

Almost surely, 2^61376328000 is an apocalyptic number.

61376328000 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 61376328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123404351616).

61376328000 is an abundant number, since it is smaller than the sum of its proper divisors (185432375232).

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

61376328000 is a wasteful number, since it uses less digits than its factorization.

61376328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

It can be divided in two parts, 61376 and 328000, that added together give a square (389376 = 624²).

The spelling of 61376328000 in words is "sixty-one billion, three hundred seventy-six million, three hundred twenty-eight thousand".