61327481400 has 240 divisors, whose sum is σ = 213661611240. Its totient is φ = 16303161600.

The previous prime is 61327481387. The next prime is 61327481417. The reversal of 61327481400 is 418472316.

61327481400 is a `hidden beast` number, since 6 + 132 + 7 + 481 + 40 + 0 = 666.

61327481400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61327481400² (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5356482 + ... + 5367918.

Almost surely, 2^61327481400 is an apocalyptic number.

61327481400 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 61327481400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106830805620).

61327481400 is an abundant number, since it is smaller than the sum of its proper divisors (152334129840).

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

61327481400 is a wasteful number, since it uses less digits than its factorization.

61327481400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11796 (or 11778 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 61327481400 in words is "sixty-one billion, three hundred twenty-seven million, four hundred eighty-one thousand, four hundred".