7707420864 has 560 divisors, whose sum is σ = 27665025696. Its totient is φ = 2090188800.

The previous prime is 7707420823. The next prime is 7707420881. The reversal of 7707420864 is 4680247077.

It is a super-3 number, since 3×7707420864³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27428404 + ... + 27428684.

Almost surely, 2^7707420864 is an apocalyptic number.

7707420864 is a gapful number since it is divisible by the number (74) 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 7707420864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13832512848).

7707420864 is an abundant number, since it is smaller than the sum of its proper divisors (19957604832).

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

7707420864 is a wasteful number, since it uses less digits than its factorization.

7707420864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 7707420864 is about 87791.9179879333. The cubic root of 7707420864 is about 1975.3149838057.

The spelling of 7707420864 in words is "seven billion, seven hundred seven million, four hundred twenty thousand, eight hundred sixty-four".