61360416000 has 864 divisors, whose sum is σ = 246989503488. Its totient is φ = 15079219200.

The previous prime is 61360415989. The next prime is 61360416011. The reversal of 61360416000 is 61406316.

61360416000 is a `hidden beast` number, since 6 + 13 + 6 + 0 + 41 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61360415989) and next prime (61360416011).

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 101087697 + ... + 101088303.

Almost surely, 2^61360416000 is an apocalyptic number.

61360416000 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 61360416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123494751744).

61360416000 is an abundant number, since it is smaller than the sum of its proper divisors (185629087488).

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

61360416000 is an equidigital number, since it uses as much as digits as its factorization.

61360416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 61360416000 in words is "sixty-one billion, three hundred sixty million, four hundred sixteen thousand".