61400640600 has 720 divisors, whose sum is σ = 236984128920. Its totient is φ = 14718412800.

The previous prime is 61400640593. The next prime is 61400640617. The reversal of 61400640600 is 604600416.

61400640600 is a `hidden beast` number, since 6 + 14 + 0 + 0 + 6 + 40 + 600 = 666.

61400640600 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 112249527 + ... + 112250073.

Almost surely, 2^61400640600 is an apocalyptic number.

61400640600 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 61400640600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118492064460).

61400640600 is an abundant number, since it is smaller than the sum of its proper divisors (175583488320).

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

61400640600 is a wasteful number, since it uses less digits than its factorization.

61400640600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 61400640600 in words is "sixty-one billion, four hundred million, six hundred forty thousand, six hundred".