61772307480 has 320 divisors, whose sum is σ = 230812243200. Its totient is φ = 14714680320.

The previous prime is 61772307469. The next prime is 61772307529. The reversal of 61772307480 is 8470327716.

61772307480 is a `hidden beast` number, since 617 + 7 + 23 + 0 + 7 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1282066 + ... + 1329374.

It is an arithmetic number, because the mean of its divisors is an integer number (721288260).

Almost surely, 2^61772307480 is an apocalyptic number.

61772307480 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 61772307480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115406121600).

61772307480 is an abundant number, since it is smaller than the sum of its proper divisors (169039935720).

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

61772307480 is a wasteful number, since it uses less digits than its factorization.

61772307480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47376 (or 47363 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 61772307480 in words is "sixty-one billion, seven hundred seventy-two million, three hundred seven thousand, four hundred eighty".