61677158400 has 1350 divisors, whose sum is σ = 269908201332. Its totient is φ = 13801881600.

The previous prime is 61677158369. The next prime is 61677158419. The reversal of 61677158400 is 485177616.

61677158400 is a `hidden beast` number, since 6 + 1 + 67 + 7 + 1 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1350).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 4744396794 + ... + 4744396806.

Almost surely, 2^61677158400 is an apocalyptic number.

61677158400 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 61677158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134954100666).

61677158400 is an abundant number, since it is smaller than the sum of its proper divisors (208231042932).

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

61677158400 is a wasteful number, since it uses less digits than its factorization.

61677158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 61677158400 in words is "sixty-one billion, six hundred seventy-seven million, one hundred fifty-eight thousand, four hundred".