611657005740 has 96 divisors (see below), whose sum is σ = 1869772826880. Its totient is φ = 148166304000.

The previous prime is 611657005733. The next prime is 611657005787. The reversal of 611657005740 is 47500756116.

611657005740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 611657005692 and 611657005701.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502491 + ... + 1214829.

It is an arithmetic number, because the mean of its divisors is an integer number (19476800280).

Almost surely, 2^611657005740 is an apocalyptic number.

611657005740 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 611657005740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934886413440).

611657005740 is an abundant number, since it is smaller than the sum of its proper divisors (1258115821140).

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

611657005740 is a wasteful number, since it uses less digits than its factorization.

611657005740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713663 (or 713661 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 611657005740 in words is "six hundred eleven billion, six hundred fifty-seven million, five thousand, seven hundred forty".