61893780480 has 704 divisors, whose sum is σ = 253547642880. Its totient is φ = 14025719808.

The previous prime is 61893780469. The next prime is 61893780491. The reversal of 61893780480 is 8408739816.

61893780480 is a `hidden beast` number, since 6 + 1 + 8 + 93 + 78 + 0 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (61893780469) and next prime (61893780491).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161602369 + ... + 161602751.

Almost surely, 2^61893780480 is an apocalyptic number.

61893780480 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 61893780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126773821440).

61893780480 is an abundant number, since it is smaller than the sum of its proper divisors (191653862400).

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

61893780480 is a wasteful number, since it uses less digits than its factorization.

61893780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 61893780480 in words is "sixty-one billion, eight hundred ninety-three million, seven hundred eighty thousand, four hundred eighty".