61404007392 has 1152 divisors, whose sum is σ = 239384678400. Its totient is φ = 15153868800.

The previous prime is 61404007391. The next prime is 61404007403. The reversal of 61404007392 is 29370040416.

61404007392 is a `hidden beast` number, since 61 + 40 + 400 + 73 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61404007391) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1006623042 + ... + 1006623102.

It is an arithmetic number, because the mean of its divisors is an integer number (207799200).

Almost surely, 2^61404007392 is an apocalyptic number.

61404007392 is a gapful number since it is divisible by the number (62) 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 61404007392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119692339200).

61404007392 is an abundant number, since it is smaller than the sum of its proper divisors (177980671008).

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

61404007392 is a wasteful number, since it uses less digits than its factorization.

61404007392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 61404007392 in words is "sixty-one billion, four hundred four million, seven thousand, three hundred ninety-two".