61507403840 has 112 divisors (see below), whose sum is σ = 152038842480. Its totient is φ = 23672463360.

The previous prime is 61507403819. The next prime is 61507403861. The reversal of 61507403840 is 4830470516.

It is an interprime number because it is at equal distance from previous prime (61507403819) and next prime (61507403861).

It can be written as a sum of positive squares in 8 ways, for example, as 16059985984 + 45447417856 = 126728^2 + 213184^2 .

It is a junction number, because it is equal to n+sod(n) for n = 61507403794 and 61507403803.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2707730 + ... + 2730350.

It is an arithmetic number, because the mean of its divisors is an integer number (1357489665).

Almost surely, 2^61507403840 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 61507403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76019421240).

61507403840 is an abundant number, since it is smaller than the sum of its proper divisors (90531438640).

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

61507403840 is a wasteful number, since it uses less digits than its factorization.

61507403840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22960 (or 22950 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 61507403840 in words is "sixty-one billion, five hundred seven million, four hundred three thousand, eight hundred forty".