61402017600 has 1512 divisors, whose sum is σ = 288184242528. Its totient is φ = 12715315200.

The previous prime is 61402017577. The next prime is 61402017619. The reversal of 61402017600 is 671020416.

61402017600 is a `hidden beast` number, since 6 + 1 + 40 + 2 + 0 + 17 + 600 = 666.

61402017600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1512).

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 215 ways as a sum of consecutive naturals, for example, 209563054 + ... + 209563346.

It is an arithmetic number, because the mean of its divisors is an integer number (190598044).

Almost surely, 2^61402017600 is an apocalyptic number.

61402017600 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 61402017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144092121264).

61402017600 is an abundant number, since it is smaller than the sum of its proper divisors (226782224928).

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

61402017600 is a wasteful number, since it uses less digits than its factorization.

61402017600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 61402017600 in words is "sixty-one billion, four hundred two million, seventeen thousand, six hundred".