60701086076400 has 2400 divisors, whose sum is σ = 275438127545856. Its totient is φ = 12540261888000.

The previous prime is 60701086076317. The next prime is 60701086076419. The reversal of 60701086076400 is 467068010706.

60701086076400 is a `hidden beast` number, since 6 + 0 + 70 + 108 + 6 + 0 + 76 + 400 = 666.

60701086076400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 63694738324 + ... + 63694739276.

Almost surely, 2^{60701086076400} is an apocalyptic number.

60701086076400 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 60701086076400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137719063772928).

60701086076400 is an abundant number, since it is smaller than the sum of its proper divisors (214737041469456).

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

60701086076400 is a wasteful number, since it uses less digits than its factorization.

60701086076400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 60701086076400 in words is "sixty trillion, seven hundred one billion, eighty-six million, seventy-six thousand, four hundred".