61629362977 has 96 divisors (see below), whose sum is σ = 83869255680. Its totient is φ = 44039531520.

The previous prime is 61629362969. The next prime is 61629362989. The reversal of 61629362977 is 77926392616.

It is a happy number.

61629362977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61629362977 - 2³ = 61629362969 is a prime.

Its product of digits (10287648) is a multiple of the sum of its prime divisors (972).

It is not an unprimeable number, because it can be changed into a prime (61629362917) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74341399 + ... + 74342227.

It is an arithmetic number, because the mean of its divisors is an integer number (873638080).

Almost surely, 2^61629362977 is an apocalyptic number.

It is an amenable number.

61629362977 is a deficient number, since it is larger than the sum of its proper divisors (22239892703).

61629362977 is a wasteful number, since it uses less digits than its factorization.

61629362977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 972 counting only the distinct ones).

The product of its digits is 10287648, while the sum is 58.

The spelling of 61629362977 in words is "sixty-one billion, six hundred twenty-nine million, three hundred sixty-two thousand, nine hundred seventy-seven".