61464904704 has 220 divisors, whose sum is σ = 209769092544. Its totient is φ = 17561235456.

The previous prime is 61464904687. The next prime is 61464904741. The reversal of 61464904704 is 40740946416.

61464904704 is a `hidden beast` number, since 61 + 464 + 90 + 47 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 61464904704.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 527677 + ... + 633539.

Almost surely, 2^61464904704 is an apocalyptic number.

61464904704 is a gapful number since it is divisible by the number (64) 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 61464904704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104884546272).

61464904704 is an abundant number, since it is smaller than the sum of its proper divisors (148304187840).

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

61464904704 is a wasteful number, since it uses less digits than its factorization.

61464904704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105902 (or 105875 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 61464904704 in words is "sixty-one billion, four hundred sixty-four million, nine hundred four thousand, seven hundred four".