61406392320 has 936 divisors, whose sum is σ = 267156476496. Its totient is φ = 12931301376.

The previous prime is 61406392303. The next prime is 61406392331. The reversal of 61406392320 is 2329360416.

61406392320 is a `hidden beast` number, since 6 + 14 + 0 + 639 + 2 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117411579 + ... + 117412101.

It is an arithmetic number, because the mean of its divisors is an integer number (285423586).

Almost surely, 2^61406392320 is an apocalyptic number.

61406392320 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 61406392320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133578238248).

61406392320 is an abundant number, since it is smaller than the sum of its proper divisors (205750084176).

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

61406392320 is a wasteful number, since it uses less digits than its factorization.

61406392320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 61406392320 in words is "sixty-one billion, four hundred six million, three hundred ninety-two thousand, three hundred twenty".