61878076416 has 1056 divisors, whose sum is σ = 226558684800. Its totient is φ = 16562257920.

The previous prime is 61878076409. The next prime is 61878076423. The reversal of 61878076416 is 61467087816.

61878076416 is a `hidden beast` number, since 6 + 1 + 87 + 80 + 76 + 416 = 666.

It is an interprime number because it is at equal distance from previous prime (61878076409) and next prime (61878076423).

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 95 ways as a sum of consecutive naturals, for example, 1509221356 + ... + 1509221396.

Almost surely, 2^61878076416 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 61878076416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113279342400).

61878076416 is an abundant number, since it is smaller than the sum of its proper divisors (164680608384).

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

61878076416 is a wasteful number, since it uses less digits than its factorization.

61878076416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 61878076416 in words is "sixty-one billion, eight hundred seventy-eight million, seventy-six thousand, four hundred sixteen".