61672770432 has 576 divisors, whose sum is σ = 223904116800. Its totient is φ = 16150192128.

The previous prime is 61672770409. The next prime is 61672770451. The reversal of 61672770432 is 23407727616.

61672770432 is a `hidden beast` number, since 616 + 7 + 27 + 7 + 0 + 4 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×61672770432² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 168045513 + ... + 168045879.

It is an arithmetic number, because the mean of its divisors is an integer number (388722425).

Almost surely, 2^61672770432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61672770432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111952058400).

61672770432 is an abundant number, since it is smaller than the sum of its proper divisors (162231346368).

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

61672770432 is a wasteful number, since it uses less digits than its factorization.

61672770432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 61672770432 in words is "sixty-one billion, six hundred seventy-two million, seven hundred seventy thousand, four hundred thirty-two".