61670354400 has 360 divisors, whose sum is σ = 229696236000. Its totient is φ = 16094730240.

The previous prime is 61670354381. The next prime is 61670354441. The reversal of 61670354400 is 445307616.

It is a happy number.

61670354400 is a `hidden beast` number, since 616 + 7 + 0 + 35 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×61670354400² (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, 3035476 + ... + 3055724.

It is an arithmetic number, because the mean of its divisors is an integer number (638045100).

Almost surely, 2^61670354400 is an apocalyptic number.

61670354400 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 61670354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114848118000).

61670354400 is an abundant number, since it is smaller than the sum of its proper divisors (168025881600).

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

61670354400 is a wasteful number, since it uses less digits than its factorization.

61670354400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20328 (or 20306 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 61670354400 in words is "sixty-one billion, six hundred seventy million, three hundred fifty-four thousand, four hundred".